Journal articles on the topic 'A Hermit ring'

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1

Hatalevych, A. I. "Right Bézout ring with waist is a right Hermite ring." Ukrainian Mathematical Journal 62, no. 1 (August 2010): 151–54. http://dx.doi.org/10.1007/s11253-010-0339-1.

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2

Yengui, Ihsen. "The Hermite ring conjecture in dimension one." Journal of Algebra 320, no. 1 (July 2008): 437–41. http://dx.doi.org/10.1016/j.jalgebra.2008.02.007.

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3

Cohn, P. M. "From Hermite rings to Sylvester domains." Proceedings of the American Mathematical Society 128, no. 7 (November 1, 1999): 1899–904. http://dx.doi.org/10.1090/s0002-9939-99-05189-8.

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4

Chen, Huanyin, and Marjan Sheibani. "Diagonal matrix reduction over Hermite rings." Linear and Multilinear Algebra 66, no. 4 (April 27, 2017): 681–91. http://dx.doi.org/10.1080/03081087.2017.1318819.

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5

Zhongkui, Liu. "Hermite and ps-rings of hurwitz series∗." Communications in Algebra 28, no. 1 (January 2000): 299–305. http://dx.doi.org/10.1080/00927870008841073.

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6

KABBOUR, MOHAMMED, and NAJIB MAHDOU. "AMALGAMATION OF RINGS DEFINED BY BÉZOUT-LIKE CONDITIONS." Journal of Algebra and Its Applications 10, no. 06 (December 2011): 1343–50. http://dx.doi.org/10.1142/s0219498811005683.

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Let f : A → B be a ring homomorphism and let J be an ideal of B. In this paper, we investigate the transfer of notions elementary divisor ring, Hermite ring and Bézout ring to the amalgamation A ⋈f J. We provide necessary and sufficient conditions for A ⋈f J to be an elementary divisor ring where A and B are integral domains. In this case it is shown that A ⋈f J is an Hermite ring if and only if it is a Bézout ring. In particular, we study the transfer of the previous notions to the amalgamated duplication of a ring A along an A-submodule E of Q(A) such that E2 ⊆ E.
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7

Brewer, J. W. "On hermite rings and the pole assignability property." Communications in Algebra 14, no. 3 (January 1986): 481–88. http://dx.doi.org/10.1080/00927878608823319.

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8

Liu, Jinwang, and Dongmei Li. "The generalized Serre problem over K-Hermite rings." Journal of Systems Science and Complexity 30, no. 2 (December 23, 2016): 510–18. http://dx.doi.org/10.1007/s11424-017-6027-6.

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9

Lu, Ye, Dong Liu, Yue-Jian Lin, Zhen-Hua Li, and Guo-Xin Jin. "Self-assembly of metalla[3]catenanes, Borromean rings and ring-in-ring complexes using a simple π-donor unit." National Science Review 7, no. 10 (July 15, 2020): 1548–56. http://dx.doi.org/10.1093/nsr/nwaa164.

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Abstract Despite extensive research and several stunning breakthroughs in the synthesis of interlocked molecular species, [3]catenanes, Borromean rings and ring-in-ring complexes are exceedingly rare and their targeted synthesis remains a formidable challenge. Herein, a series of Cp*Rh-based homogeneous and heterogeneous interlocked structures have been prepared by coordination-driven self-assembly, not only including metalla[2]catenanes and molecular Borromean rings, but also linear metalla[3]catenanes and ring-in-ring complexes. The interlocked structures are all based on bithiophenyl groups. The bithiophenyl groups effectively enhance the strength of the inter-ring interactions and play a crucial role in the formation of these interlocked structures. By taking advantage of the strong interaction between π-donor (D) and π-acceptor (A) groups, the electron-deficient methylviologen cation was introduced into a cationic metallarectangle based on bithiophenyl groups. Taking inspiration from these results, a cationic metallarectangle based on A units was threaded into a metallarectangle based on D units, leading to a heterogeneous D–A ring-in-ring structure.
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10

Lezama, Oswaldo, and Claudia Gallego. "d-Hermite rings and skew $$\textit{PBW}$$ PBW extensions." São Paulo Journal of Mathematical Sciences 10, no. 1 (August 25, 2015): 60–72. http://dx.doi.org/10.1007/s40863-015-0010-8.

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11

Lazareff, B., J. P. Berger, J. Kluska, J. B. Le Bouquin, M. Benisty, F. Malbet, C. Koen, et al. "Structure of Herbig AeBe disks at the milliarcsecond scale." Astronomy & Astrophysics 599 (March 2017): A85. http://dx.doi.org/10.1051/0004-6361/201629305.

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Context. It is now generally accepted that the near-infrared excess of Herbig AeBe stars originates in the dust of a circumstellar disk. Aims. The aims of this article are to infer the radial and vertical structure of these disks at scales of order 1 au, and the properties of the dust grains. Methods. The program objects (51 in total) were observed with the H-band (1.6 μm) PIONIER/VLTI interferometer. The largest baselines allowed us to resolve (at least partially) structures of a few tenths of an au at typical distances of a few hundred parsecs. Dedicated UBVRIJHK photometric measurements were also obtained. Spectral and 2D geometrical parameters are extracted via fits of a few simple models: ellipsoids and broadened rings with azimuthal modulation. Model bias is mitigated by parallel fits of physical disk models. Sample statistics were evaluated against similar statistics for the physical disk models to infer properties of the sample objects as a group. Results. We find that dust at the inner rim of the disk has a sublimation temperature Tsub ≈ 1800 K. A ring morphology is confirmed for approximately half the resolved objects; these rings are wide δr/r ≥ 0.5. A wide ring favors a rim that, on the star-facing side, looks more like a knife edge than a doughnut. The data are also compatible with the combination of a narrow ring and an inner disk of unspecified nature inside the dust sublimation radius. The disk inner part has a thickness z/r ≈ 0.2, flaring to z/r ≈ 0.5 in the outer part. We confirm the known luminosity-radius relation; a simple physical model is consistent with both the mean luminosity-radius relation and the ring relative width; however, a significant spread around the mean relation is present. In some of the objects we find a halo component, fully resolved at the shortest interferometer spacing, that is related to the HAeBe class.
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12

Dmytruk, A. A., A. I. Gatalevych, and M. I. Kuchma. "Stable range conditions for abelian and duo rings." Matematychni Studii 57, no. 1 (March 31, 2022): 92–97. http://dx.doi.org/10.30970/ms.57.1.92-97.

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The article deals with the following question: when does the classical ring of quotientsof a duo ring exist and idempotents in the classical ring of quotients $Q_{Cl} (R)$ are thereidempotents in $R$? In the article we introduce the concepts of a ring of (von Neumann) regularrange 1, a ring of semihereditary range 1, a ring of regular range 1. We find relationshipsbetween the introduced classes of rings and known ones for abelian and duo rings.We proved that semihereditary local duo ring is a ring of semihereditary range 1. Also it was proved that a regular local Bezout duo ring is a ring of stable range 2. In particular, the following Theorem 1 is proved: For an abelian ring $R$ the following conditions are equivalent:$1.$\ $R$ is a ring of stable range 1; $2.$\ $R$ is a ring of von Neumann regular range 1. The paper also introduces the concept of the Gelfand element and a ring of the Gelfand range 1 for the case of a duo ring. Weproved that the Hermite duo ring of the Gelfand range 1 is an elementary divisor ring (Theorem 3).
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13

Amphawan, Angela, and Yousef Fazea. "Multidiameter optical ring and Hermite–Gaussian vortices for wavelength division multiplexing–mode division multiplexing." Optical Engineering 55, no. 10 (October 13, 2016): 106109. http://dx.doi.org/10.1117/1.oe.55.10.106109.

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14

Ding, Chunyong, Lili Wang, Haijun Chen, Christopher Wild, Na Ye, Ye Ding, Tianzhi Wang, Mark A. White, Qiang Shen, and Jia Zhou. "ent-Kaurane-based regio- and stereoselective inverse electron demand hetero-Diels–Alder reactions: synthesis of dihydropyran-fused diterpenoids." Org. Biomol. Chem. 12, no. 42 (2014): 8442–52. http://dx.doi.org/10.1039/c4ob01040j.

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15

Galletly, G. D., and S. James. "Inter-ring Buckling of Welded Ring-Stiffened Cylindrical Shells Subjected to External Pressure." Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering 203, no. 2 (August 1989): 101–14. http://dx.doi.org/10.1243/pime_proc_1989_203_196_02.

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Test results are given in the paper for six 0.6 m diameter welded steel cylinders, stiffened by external T-rings, which were subjected to external pressure. The radius-thickness ratio of the cylinders varied from 185 to 300 and the ratio of the length of the central bay of the cylinders to the radius varied from 0.28 to 0.60. In the assessment of the test results, three design codes were employed, viz. BS 5500, DASt 013 and ASME Code Case N-284. The main aims of the tests were (a) to determine if the external pressure section of BS 5500 was too conservative in the ‘elastic’ range and (b) to ascertain whether the other two codes always gave safe predictions of buckling pressures. On the basis of the tests discussed herein, it is concluded that, for externally stiffened cylinders, the reduction factor, α, in BS 5500 could be increased from 0.5 to 0.6 in the ‘elastic’ buckling region. Doing this would have commercial benefits but, before it is done, more tests need to be carried out in order to establish the repeatability of the present results. With regard to the DASt 013 code and ASME Code Case N-284, both of them predicted buckling pressures that were too high in several cases. These codes should be amended, particularly for cylinders which have geometric ratios similar to those tested herein. In connection with this point, the authors have been informed recently that DASt 013 will be replaced by DIN 18800, Part 4, some time in 1989. The buckling predictions of this new code, when applied to the six ring-stiffened models discussed herein, appear to be satisfactory. Some recent German tests on short unstiffened cylinders are also reviewed and discussed from the viewpoints of the BS 5500, DASt 013 and ASME N-284 codes.
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16

Chen, Shi Peng, Jian Ting Zhang, Dong Wang Liu, Lin Jun Tang, Jun Ming Feng, Xiao Ji Wang, and Shuang Ping Huang. "A Prophase Study on Applying Conia-Ene Reation in Constructing bicyclo [3, 3, 1] Nonane Ring." Advanced Materials Research 781-784 (September 2013): 1172–74. http://dx.doi.org/10.4028/www.scientific.net/amr.781-784.1172.

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The bicyclo [3, 3, 1] nonane ring system is the main structural feature in the lycopodium alkaloids. There are many methods to build the [3, 3, 1] bridged ring system, Herein, we designed to use indium Lewis acid which can activate the triple bond to construct [3, 3, 1] bridged ring system via Conia-ene reaction, and described a prophase study of applying Conia-ene reaction to construct such bicycle [3, 3, 1] nonane ring.
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17

Hassan, Mohammed, Jimmy Windsor, Tomas Salerno, and Marco Ricci. "Use of Pledgeted Sutures in Mitral Annuloplasty." Innovations: Technology and Techniques in Cardiothoracic and Vascular Surgery 9, no. 2 (March 2014): 148–49. http://dx.doi.org/10.1097/imi.0000000000000060.

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Annuloplasty ring or band dehiscence is a possible complication of mitral valve repair surgery. It may be due to increased tension on the annuloplasty sutures, especially in ischemic mitral pathology in which a circumferential ring is used. Herein, we describe a technique for alternative suture placement in mitral annuloplasty using pledgeted sutures that may reduce the risk for ring or band dehiscence.
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18

Tam, William, Angel Ho, Austin Pounder, Samuel Koh, Matthew P. Macleod, and Emily Carlson. "Acid-Catalyzed Intramolecular Ring-Opening Reactions of Cyclopropanated Oxabenzonorbornadienes with Carboxylic Acid Nucleophiles." Synthesis 54, no. 05 (October 18, 2021): 1422–30. http://dx.doi.org/10.1055/a-1672-2260.

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AbstractThe present work demonstrates the ability of carboxylic acid tethered cyclopropanated oxabenzonorbornadienes (CPOBDs) to undergo ring-opening reactions in mild acidic conditions. The optimized reaction conditions involve the use of pTsOH in DCE at 90 °C. Two regioisomers are formed but the reactions are highly regioselective towards type 3 ring-opened products. It was observed that substitution at the C5 and aryl positions of CPOBD significantly hinders the ring-opening reactions leading to decreased yields of ring-opened products, although high regioselectivity for the Type 3 ring-opened products is still maintained. Herein, the first examples of acid-catalyzed intramolecular ring-opening reactions of CPOBD with carboxylic acid nucleophiles are reported.
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19

Gao, Songsong, and Xiangdong Hu. "Nickel-catalyzed ring-opening of α-hydroxycyclobutenones with a remarkable ligand effect." Chemical Communications 53, no. 76 (2017): 10540–43. http://dx.doi.org/10.1039/c7cc03340k.

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20

Deguchi, Masato, Akitoshi Fujiya, Eiji Yamaguchi, Norihiro Tada, Bunji Uno, and Akichika Itoh. "Organic dye-catalyzed radical ring expansion reaction." RSC Advances 8, no. 28 (2018): 15825–30. http://dx.doi.org/10.1039/c8ra02383b.

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21

Wang, Dongping, Jincheng Mao, and Chen Zhu. "Visible light-promoted ring-opening functionalization of unstrained cycloalkanolsviainert C–C bond scission." Chemical Science 9, no. 26 (2018): 5805–9. http://dx.doi.org/10.1039/c8sc01763h.

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22

Saini, Kapil Mohan, Rakesh K. Saunthwal, Shiv Kumar, and Akhilesh K. Verma. "On water: iodine-mediated direct construction of 1,3-benzothiazines from ortho-alkynylanilines by regioselective 6-exo-dig cyclization." Organic & Biomolecular Chemistry 17, no. 10 (2019): 2657–62. http://dx.doi.org/10.1039/c9ob00128j.

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23

Vrba, F. J., R. Baierlein, and W. Herbst. "The Magnetic Field Structure of the CMa R1 Star Formation Region." Symposium - International Astronomical Union 115 (1987): 85–86. http://dx.doi.org/10.1017/s0074180900095048.

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The CMa R1 association is embedded in a curved region of dark and reflection nebulosity which is part of a larger-scale ring structure of emission nebulosity thought to be a relatively old supernova remnant (Herbst and Assousa 1977, 1978), These investigators and Herbst, Racine, and Warner (1978) have argued that recent star formation in CMa R1 was induced by the supernova. Indeed, data for the emission ring, an associated expanding HI shell, and a nearby runaway star infer an age for the supernova remnant of 3x105 years; consistent with the age of most of the CMa R1 stars.
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24

Cowley, C. R., S. Hubrig, F. Castelli, and B. Wolff. "The narrow, inner CO ring around the magnetic Herbig Ae star HD 101412." Astronomy & Astrophysics 537 (January 2012): L6. http://dx.doi.org/10.1051/0004-6361/201118571.

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25

Fan, Rong, Binbin Liu, Tianyu Zheng, Kun Xu, Chen Tan, Tianlong Zeng, Shuaisong Su, and Jiajing Tan. "An aryne triggered ring-opening fluorination of cyclic thioethers with potassium fluoride." Chemical Communications 54, no. 51 (2018): 7081–84. http://dx.doi.org/10.1039/c8cc03766c.

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26

Li, Dong, Jing Wang, Shibo Yu, Silei Ye, Wenjie Zou, Hongbin Zhang, and Jingbo Chen. "Highly regioselective ring-opening of epoxides with amines: a metal- and solvent-free protocol for the synthesis of β-amino alcohols." Chemical Communications 56, no. 15 (2020): 2256–59. http://dx.doi.org/10.1039/c9cc09048g.

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27

Wang, Xinya, Xiaohua Wang, Nuo Zhen, Jin Gu, Hao Zhang, Bo Dong, Feng Wang, and Heng Liu. "Sodium complexes bearing cavity-like conformations: a highly active and well-controlled catalytic system for macrolactone homo- and copolymerization." Polymer Chemistry 12, no. 13 (2021): 1957–66. http://dx.doi.org/10.1039/d0py01580f.

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28

Massé, Paul, Sabine Choppin, Lucia Chiummiento, Gilles Hanquet, and Françoise Colobert. "Unintended Formation of a 26-Membered Cycle in the Course of a Novel Approach to Myricanol, a Strained [7,0]-Metacyclophane." Synlett 31, no. 06 (November 29, 2019): 559–64. http://dx.doi.org/10.1055/s-0039-1691523.

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A convergent approach for the synthesis of (±)-myricanol, a strained diarylheptanoid isolated from Myricacae, was undertaken using a Suzuki–Miyaura coupling followed by a ring-closing metathesis (RCM). Herein, we report the unintentional formation of a 26-membered macrocycle as RCM product resulting from a head-to-tail dimerization of the seco-precursor, even in relay ring-closing metathesis (RRCM) conditions.
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29

Rahman, MA, and S. Rajbangshi. "Fluxional dynamics of terpyridine ligand in [Ru(bpy-d8)2(η2-tpy)]2+ complex." Bangladesh Journal of Scientific and Industrial Research 55, no. 4 (December 27, 2020): 253–60. http://dx.doi.org/10.3329/bjsir.v55i4.50961.

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Herein, we report the fluxional dynamic behaviour of terpyridineligand in [Ru(bpy-d8)(η2-tpy)]2+ 1. Reaction of Ru(bpy-d8)2Cl2·2H2O with 2,2′:6′,2′′-terpyridine in refluxing methanol afforded 1. Complex 1 has been characterized by 1H NMR spectroscopic analysis. Variable temperature 1H NMR data reveals that the pendant pyridine ring of the tpy ligand in Ru(bpy-d8)2(tpy)]2+ rotates which effects the adjacent ring protons. Moreover, protonation of 1 with trifluoroacetic acid (TFA) confirms that peripheral N on the pendant pyridyl ring of the tpy ligand affects the chemical shifts of protons on the tpy pendant pyridyl ring. Bangladesh J. Sci. Ind. Res.55(4), 253-260, 2020
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30

Kuboki, Yuichi, Mitsuhiro Arisawa, and Kenichi Murai. "Ring-opening 1,3-arylboration of arylcyclopropanes mediated by BCl3." RSC Advances 10, no. 62 (2020): 37797–99. http://dx.doi.org/10.1039/d0ra08151e.

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31

Garayalde, David, and Cristina Nevado. "Synthetic applications of gold-catalyzed ring expansions." Beilstein Journal of Organic Chemistry 7 (June 7, 2011): 767–80. http://dx.doi.org/10.3762/bjoc.7.87.

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The development of new methodologies catalyzed by late transition metals involving cycloisomerizations of strained rings can open new venues for the synthesis of structurally complex molecules with interesting biological activities. Herein we summarize, from both a synthetic as well as a mechanistic point of view, the most recent developments in gold-catalyzed ring expansions.
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32

Shi, Ying, Yan-Ran Wu, Ming-Bo Su, Dong-Hao Shen, Hendra Gunosewoyo, Fan Yang, Jia Li, Jie Tang, Yu-Bo Zhou, and Li-Fang Yu. "Novel spirocyclic tranylcypromine derivatives as lysine-specific demethylase 1 (LSD1) inhibitors." RSC Advances 8, no. 3 (2018): 1666–76. http://dx.doi.org/10.1039/c7ra13097j.

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33

Tsoung, Jennifer, Ying Wang, and Stevan W. Djuric. "Expedient Diels–Alder cycloadditions with ortho-quinodimethanes in a high temperature/pressure flow reactor." Reaction Chemistry & Engineering 2, no. 4 (2017): 458–61. http://dx.doi.org/10.1039/c7re00058h.

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34

Gutman, Ivan, and Aexanru Balaban. "A simple mathematical model for the effect of benzoannelation on cyclic conjugation." Journal of the Serbian Chemical Society 76, no. 11 (2011): 1505–11. http://dx.doi.org/10.2298/jsc110224131g.

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In a series of earlier studies, it was established that benzoannelation in the angular (resp. linear) position relative to a ring R of a polycyclic conjugated ?-electron system, increases (resp. decreases) the intensity of the cyclic conjugation in the ring R. Herein, it is shown how this regularity can be explained by means of a simple, Kekul?-structurebased argument, itself based on an idea of Randic from the 1970s.
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35

Bansal, Nalini, and Brahmananda Satapathy. "Primary multifocal cystic signet ring neuroendocrine tumor of liver: a case report." Journal of Liver Cancer 21, no. 2 (September 30, 2021): 187–93. http://dx.doi.org/10.17998/jlc.2021.09.17.

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Primary signet ring neuroendocrine tumors of the liver are extremely rare tumors. Morphologically, they mimic signet ring cell adenocarcinomas; however, the absence of mucin by special stains and the expression of neuroendocrine markers help to diagnose these tumors. We herein report a case of a 47-year-old female who presented with multiple solid and cystic lesions in both liver lobes, which were initially suggested to be biliary cystadenocarcinoma on imaging. Liver biopsy of the lesion revealed the presence of a signet ring neoplasm with diffuse expression of synaptophysin and pan-cytokeratin. The case was subsequently diagnosed as a primary hepatic signet ring neuroendocrine tumor. The patient was offered 3 cycles of chemotherapy and is well preserved after 14 months of diagnosis. Although this is an extremely rare entity, its possibility should be considered in the differential diagnosis of neoplasms characterized by signet ring cell morphology.
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36

Chen, Lei, Attila Moór, Alexander Kreplin, Ágnes Kóspál, Peter Ábrahám, Alexis Matter, Andres Carmona, Karl-Heinz Hofmann, Dieter Schertl, and Gerd Weigelt. "Variable Warm Dust around the Herbig Ae Star HD 169142: Birth of a Ring?" Astrophysical Journal 887, no. 2 (December 17, 2019): L32. http://dx.doi.org/10.3847/2041-8213/ab59dd.

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37

Sasane, Amol. "An analogue of Serre’s conjecture for a ring of distributions." Topological Algebra and its Applications 8, no. 1 (July 1, 2020): 88–91. http://dx.doi.org/10.1515/taa-2020-0100.

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AbstractThe set 𝒜 := 𝔺δ0+ 𝒟+′, obtained by attaching the identity δ0 to the set 𝒟+′ of all distributions on 𝕉 with support contained in (0, ∞), forms an algebra with the operations of addition, convolution, multiplication by complex scalars. It is shown that 𝒜 is a Hermite ring, that is, every finitely generated stably free 𝒜-module is free, or equivalently, every tall left-invertible matrix with entries from 𝒜 can be completed to a square matrix with entries from 𝒜, which is invertible.
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38

Wang, Heng-guo, Shuang Yuan, Zhenjun Si, and Xin-bo Zhang. "Multi-ring aromatic carbonyl compounds enabling high capacity and stable performance of sodium-organic batteries." Energy & Environmental Science 8, no. 11 (2015): 3160–65. http://dx.doi.org/10.1039/c5ee02589c.

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39

Wei, Xiong, Ma Wei, and Zhang Shufen. "A new way to improve the light-fastness of azo reactive dyes through the introduction of benzene sulfonamide derivatives into the triazine ring." RSC Advances 9, no. 31 (2019): 17658–63. http://dx.doi.org/10.1039/c9ra02108f.

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40

Lanke, Veeranjaneyulu, Fa-Guang Zhang, Alexander Kaushansky, and Ilan Marek. "Diastereoselective ring opening of fully-substituted cyclopropanes via intramolecular Friedel–Crafts alkylation." Chemical Science 10, no. 41 (2019): 9548–54. http://dx.doi.org/10.1039/c9sc03832a.

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We herein disclose a diastereoselective ring opening of non-donor–acceptor cyclopropanes via an intramolecular Friedel–Crafts alkylation en route to functionalized dihydronaphthalene scaffolds possessing quaternary carbon stereocentres.
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41

Ge, Chenglong, Huan Ye, Fan Wu, Junliang Zhu, Ziyuan Song, Yong Liu, and Lichen Yin. "Biological applications of water-soluble polypeptides with ordered secondary structures." Journal of Materials Chemistry B 8, no. 31 (2020): 6530–47. http://dx.doi.org/10.1039/d0tb00902d.

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Herein, recent advances in the synthesis of the water-soluble polypeptides with ordered secondary structures via ring-opening polymerization of NCA/NTA and their biological applications are described.
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42

Furtula, Boris, Ivan Gutman, Svetlana Jeremic, and Slavko Radenkovic. "Effect of a ring on the cyclic conjugation in another ring: Applications to acenaphthylene-type polycyclic conjugated molecules." Journal of the Serbian Chemical Society 75, no. 1 (2010): 83–90. http://dx.doi.org/10.2298/jsc1001083f.

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In a recent work, a method was developed for assessing the influence ief(G,Z0|Z1) of a ring Z1 on the energy effect of another ring Z0 in a polycyclic conjugated molecule G. Herein, a report is given of detailed numerical investigations of ief(G,Z0|Z1) aimed at the elucidation of the influence of various six-membered rings on the intensity of cyclic conjugation in the fivemembered ring of acenaphthylene-type molecules. The earlier discovered regularities for cyclic conjugation in acenaphthylene-type molecules (in particular, the PCP rule and the linear rule) could thus not only be rationalized, but also a number of hitherto concealed regularities could be envisaged.
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43

Kost, Bartłomiej, and Malgorzata Basko. "Synthesis and properties of l-lactide/1,3-dioxolane copolymers: preparation of polyesters with enhanced acid sensitivity." Polymer Chemistry 12, no. 17 (2021): 2551–62. http://dx.doi.org/10.1039/d1py00358e.

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44

Sun, Qing, and Xiaoguang Bao. "Facile preparation of dihydro-1,4-benzothiazine derivatives via oxidative ring-expansion of 2-aminobenzothiazoles with olefins." Chemical Communications 58, no. 13 (2022): 2216–19. http://dx.doi.org/10.1039/d1cc06756g.

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Herein, 2-aminobenzothiazoles were employed to undergo oxidative ring-opening followed by [4+2] heteroannulation with olefins to construct cyanamide-containing dihydro-1,4-benzothiazine derivatives under metal-free conditions.
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45

Canto-Acosta, Rodrigo Javier, María Isabel Loría-Bastarrachea, Hugo Joel Carrillo-Escalante, Emanuel Hernández-Núñez, Manuel Aguilar-Vega, and José Luis Santiago-García. "Synthesis and characterization of poly(amide-imide)s derived from a new ortho-functional unsymmetrical dicarboxylic acid." RSC Advances 8, no. 1 (2018): 284–90. http://dx.doi.org/10.1039/c7ra11710h.

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46

Das, Archana M., and Manash P. Hazarika. "Synthesis of some novel steroidal 1,2,4,5-tetraoxanes." RSC Advances 5, no. 26 (2015): 19818–22. http://dx.doi.org/10.1039/c5ra00169b.

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A facile synthesis of A-ring manipulated C-20 methyl carboxylate steroid derivative with unsymmetrical dispiro 1,2,4,5-tetraoxanes has been focused herein via acid catalyzed cyclocondensation of bis-epidioxy ketone.
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47

Shou, Haowen, Zhaoting He, Gang Peng, Weike Su, and Jingbo Yu. "Two approaches for the synthesis of levo-praziquantel." Organic & Biomolecular Chemistry 19, no. 20 (2021): 4507–14. http://dx.doi.org/10.1039/d1ob00453k.

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Two pathways for the preparation of levo-praziquantel are herein reported, which involves mechanochemical (asymmetric) aza-Henry/acylation reaction, hydrogenation reaction, (chiral resolution) and solvent-free acylation-ring closing reaction.
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48

Smolobochkin, Andrey V., Almir S. Gazizov, Alexander R. Burilov, and Michail A. Pudovik. "One-Pot Synthesis of Novel Dibenzoxanthenes, Diarylbutanes, and Calix[4]resorcinarenes via Consecutive Pyrrolidine Ring-Closure/Ring-Opening Reactions." Journal of Chemistry 2019 (April 15, 2019): 1–7. http://dx.doi.org/10.1155/2019/3424319.

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Herein, we report the approach to the otherwise hardly accessible dibenzoxanthenes, diarylbutanes, and calix[4]resorcinarenes possessing urea moieties based on the reaction of N-(4,4-diethoxybutyl)ureas with electron-rich aromatics in strongly acidic media. Unlike the previously developed methods, the proposed approach benefits from one-pot procedure and allows to obtain the target compounds with much higher yields.
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49

Tripathi, Krishna N., Avinash H. Bansode, and Ravi P. Singh. "Palladium-Catalyzed Oxidative Annulation of Pyrrolylalkyl-1H-azoles: Towards the Synthesis of Polyheterocyclic Arenes." Synthesis 52, no. 05 (November 27, 2019): 719–26. http://dx.doi.org/10.1055/s-0039-1691492.

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A highly efficient and regioselective palladium-catalyzed annulation protocol for a series of linear and terminally substituted 1,2- and 1,3-di(heteroaryl)alkanes to the corresponding polyheterocyclic arenes is reported. Herein, intramolecular oxidative coupling involving double C(sp2)–H bond functionalization provides a feasible access to biheteroaryl systems annulated to a six-membered ring. The methodology is not restricted to six-membered annulations and was extended to the synthesis of compounds with a seven-membered ring and biheteroaryl core.
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50

Dong, Xue, Said Jalife, Alejandro Vásquez-Espinal, Jorge Barroso, Mesías Orozco-Ic, Estefanía Ravell, José Luis Cabellos, Wei-yan Liang, Zhong-hua Cui, and Gabriel Merino. "Li2B24: the simplest combination for a three-ring boron tube." Nanoscale 11, no. 5 (2019): 2143–47. http://dx.doi.org/10.1039/c8nr09173k.

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