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Journal articles on the topic 'Almost split sequence'

Author: Grafiati

Published: 11 March 2023

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1

ESHRAGHI, HOSSEIN. "EXISTENCE OF ALMOST SPLIT SEQUENCES VIA REGULAR SEQUENCES." Bulletin of the Australian Mathematical Society 88, no. 2 (2013): 218–31. http://dx.doi.org/10.1017/s0004972713000099.

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AbstractLet $(R, \mathfrak{m})$ be a Cohen–Macaulay complete local ring. We will apply an inductive argument to show that for every nonprojective locally projective maximal Cohen–Macaulay object $ \mathcal{X} $ of the morphism category of $R$ with local endomorphism ring, there exists an almost split sequence ending in $ \mathcal{X} $. Regular sequences are exploited to reduce the Krull dimension of $R$ on which the inductive argument is established. Moreover, the Auslander–Reiten translate of certain objects is described.

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2

Brenner, Sheila. "The almost split sequence starting with a simple module." Archiv der Mathematik 62, no. 3 (1994): 203–6. http://dx.doi.org/10.1007/bf01261359.

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3

Razzaque, Asima, and Inayatur Rehman. "Some Developments in the Field of Homological Algebra by Defining New Class of Modules over Nonassociative Rings." Journal of Mathematics 2022 (August 31, 2022): 1–8. http://dx.doi.org/10.1155/2022/2792450.

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The LA-module is a nonassociative structure that extends modules over a nonassociative ring known as left almost rings (LA-rings). Because of peculiar characteristics of LA-ring and its inception into noncommutative and nonassociative theory, drew the attention of many researchers over the last decade. In this study, the ideas of projective and injective LA-modules, LA-vector space, as well as examples and findings, are discussed. We construct a nontrivial example in which it is proved that if the LA-module is not free, then it cannot be a projective LA-module. We also construct free LA-module

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4

Fedele, Francesca. "d-Auslander–Reiten sequences in subcategories." Proceedings of the Edinburgh Mathematical Society 63, no. 2 (2020): 342–73. http://dx.doi.org/10.1017/s0013091519000312.

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AbstractLet Φ be a finite-dimensional algebra over a field k. Kleiner described the Auslander–Reiten sequences in a precovering extension closed subcategory ${\rm {\cal X}}\subseteq {\rm mod }\,\Phi $. If $X\in \mathcal {X}$ is an indecomposable such that ${\rm Ext}_\Phi ^1 (X,{\rm {\cal X}})\ne 0$ and $\zeta X$ is the unique indecomposable direct summand of the $\mathcal {X}$-cover $g:Y\to D\,{\rm Tr}\,X$ such that ${\rm Ext}_\Phi ^1 (X,\zeta X)\ne 0$, then there is an Auslander–Reiten sequence in $\mathcal {X}$ of the form $${\rm \epsilon }:0\to \zeta X\to {X}^{\prime}\to X\to 0.$$Moreover,

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5

Ericson, Per G. P., Cajsa L. Anderson, Tom Britton, et al. "Diversification of Neoaves: integration of molecular sequence data and fossils." Biology Letters 2, no. 4 (2006): 543–47. http://dx.doi.org/10.1098/rsbl.2006.0523.

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Patterns of diversification and timing of evolution within Neoaves, which includes almost 95% of all bird species, are virtually unknown. On the other hand, molecular data consistently indicate a Cretaceous origin of many neoavian lineages and the fossil record seems to support an Early Tertiary diversification. Here, we present the first well-resolved molecular phylogeny for Neoaves, together with divergence time estimates calibrated with a large number of stratigraphically and phylogenetically well-documented fossils. Our study defines several well-supported clades within Neoaves. The calibr

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6

Kowalski, Jakub, Maksymilian Mika, Wojciech Pawlik, Jakub Sutowicz, Marek Szykuła, and Mark H. M. Winands. "Split Moves for Monte-Carlo Tree Search." Proceedings of the AAAI Conference on Artificial Intelligence 36, no. 9 (2022): 10247–55. http://dx.doi.org/10.1609/aaai.v36i9.21265.

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In many games, moves consist of several decisions made by the player. These decisions can be viewed as separate moves, which is already a common practice in multi-action games for efficiency reasons. Such division of a player move into a sequence of simpler / lower level moves is called splitting. So far, split moves have been applied only in forementioned straightforward cases, and furthermore, there was almost no study revealing its impact on agents' playing strength. Taking the knowledge-free perspective, we aim to answer how to effectively use split moves within Monte-Carlo Tree Search (MC

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7

Dyachenko, Elena A., Elena V. Semenova, and Elena Z. Kochieva. "Characterization of variability of the intergenic spacers cpDNA trnH–psbA, trnY–trnT AND rpoB–trnC in representatives of Pisum L. (Tribe Fabeae)." Ecological genetics 18, no. 4 (2020): 445–56. http://dx.doi.org/10.17816/ecogen33959.

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Background. Plant chloroplast genome have conservative structure, but its nucleotide sequence is polymorphous due to which cpDNA fragments are often used in taxonomic and phylogenetic studies. Despite the widespread distribution and use of Fabeae species, mainly peas (Pisum), data on the intraspecific diversity of cpDNA fragments are almost absent. The aim of the work was to analyze the intraspecific variability of three cpDNA spacers in Pisum. Materials and methods. As a result of the work, intergenic spacers trnYtrnT, trnHpsbA and rpoBtrnC in 38 accessions of the Pisum and related Fabe

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8

Brumley, Farrell, and Simon Marshall. "Lower bounds for Maass forms on semisimple groups." Compositio Mathematica 156, no. 5 (2020): 959–1003. http://dx.doi.org/10.1112/s0010437x20007125.

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Let $G$ be an anisotropic semisimple group over a totally real number field $F$. Suppose that $G$ is compact at all but one infinite place $v_{0}$. In addition, suppose that $G_{v_{0}}$ is $\mathbb{R}$-almost simple, not split, and has a Cartan involution defined over $F$. If $Y$ is a congruence arithmetic manifold of non-positive curvature associated with $G$, we prove that there exists a sequence of Laplace eigenfunctions on $Y$ whose sup norms grow like a power of the eigenvalue.

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9

KAUR, ANUREET, K. S. SEKHON, S. THAMAN, A. S. SIDHU, and G. S. BUTTAR. "Evaluation of mustard (Brassica juncea) and barley (Hordeum vulgare) based cropping sequence under variable irrigation supplies." Indian Journal of Agricultural Sciences 88, no. 7 (2018): 1129–36. http://dx.doi.org/10.56093/ijas.v88i7.81600.

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A field experiment was conducted at Regional Station, Bathinda during 2010-2013 to evaluate various crop sequences under variable irrigation regimes. The experiment was conducted in split plot design with six crop sequences, viz. barley-Bt cotton, barley-cluster bean, barley-green gram,mustard-Bt cotton, mustard-cluster bean and mustardgreen gram in main plots and three irrigation regimes [optimum (O), sub-optimum (SO) and sub-sub optimum (SSO) ] were kept in sub plots with three replications. The grain yield of barley reduced significantly where grown after cotton to the tune of 10.8 and 9.2%

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10

Sboras, Sotiris, Spyros Pavlides, Adamantios Kilias, Dimitris Galanakis, Athanasios Chatziioannou, and Alexandros Chatzipetros. "The Geological Structure and Tectonic Complexity of Northern Thessaly That Hosted the March 2021 Seismic Crisis." Geotechnics 2, no. 4 (2022): 935–60. http://dx.doi.org/10.3390/geotechnics2040044.

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Knowing the rich presence of active faults in northern Thessaly and the lack of any significant seismic activity since at least the mid-1940s, the 2021 seismic sequence did not surprise us. What did surprise us was the fact that (i) despite the great knowledge of the neotectonic faults in the area, the causative faults were unknown, or almost unknown; (ii) the direction of the 2021 faulting was different than the expected, and given that the focal mechanisms showed almost pure normal dip-slip motion, the extensional main axis was also different than the one we thought we knew for this area; an

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11

Chin, William, Mark Kleiner, and Declan Quinn. "Almost Split Sequences for Comodules." Journal of Algebra 249, no. 1 (2002): 1–19. http://dx.doi.org/10.1006/jabr.2001.9086.

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12

Liu, Shiping, Puiman Ng, and Charles Paquette. "Almost Split Sequences and Approximations." Algebras and Representation Theory 16, no. 6 (2012): 1809–27. http://dx.doi.org/10.1007/s10468-012-9383-x.

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13

Zhang, Xiao Jin, and Zhao Yong Huang. "On F-almost split sequences." Acta Mathematica Sinica, English Series 26, no. 6 (2010): 1149–64. http://dx.doi.org/10.1007/s10114-009-7665-y.

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14

Iwamoto, S., J. Li, T. Omi, S. Ikemoto, and E. Kajii. "Identification of a novel exon and spliced form of Duffy mRNA that is the predominant transcript in both erythroid and postcapillary venule endothelium." Blood 87, no. 1 (1996): 378–85. http://dx.doi.org/10.1182/blood.v87.1.378.378.

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Abstract The Duffy gene has been shown not to be split by introns, even in its 5′ untranslated region, and to be expressed not only in erythroid but in postcapillary venule endothelium of almost every organ in the body. To further investigate the transcriptional start position in erythroid and postcapillary venule endothelium, we performed 5′-rapid amplification of cDNA ends (5′-RACE). While every positive clone of 5′- RACE encoded the identical sequence of previously identified cDNA downstream from nucleotide 203, the upstream sequences were different. The upstream sequences corresponded to t

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15

Iwamoto, S., J. Li, T. Omi, S. Ikemoto, and E. Kajii. "Identification of a novel exon and spliced form of Duffy mRNA that is the predominant transcript in both erythroid and postcapillary venule endothelium." Blood 87, no. 1 (1996): 378–85. http://dx.doi.org/10.1182/blood.v87.1.378.bloodjournal871378.

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The Duffy gene has been shown not to be split by introns, even in its 5′ untranslated region, and to be expressed not only in erythroid but in postcapillary venule endothelium of almost every organ in the body. To further investigate the transcriptional start position in erythroid and postcapillary venule endothelium, we performed 5′-rapid amplification of cDNA ends (5′-RACE). While every positive clone of 5′- RACE encoded the identical sequence of previously identified cDNA downstream from nucleotide 203, the upstream sequences were different. The upstream sequences corresponded to the sequen

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16

Drozd, Yu A. "Rejection Lemma and Almost Split Sequences." Ukrainian Mathematical Journal 73, no. 6 (2021): 908–29. http://dx.doi.org/10.1007/s11253-021-01967-2.

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17

Rump, Wolfgang. "L-FUNCTORS AND ALMOST SPLIT SEQUENCES." Communications in Algebra 33, no. 1 (2005): 73–95. http://dx.doi.org/10.1081/agb-200040900.

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18

Auslander, Maurice. "Rational singularities and almost split sequences." Transactions of the American Mathematical Society 293, no. 2 (1986): 511. http://dx.doi.org/10.1090/s0002-9947-1986-0816307-7.

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19

Martsinkovsky, Alex. "Almost split sequences and Zariski differentials." Transactions of the American Mathematical Society 319, no. 1 (1990): 285–307. http://dx.doi.org/10.1090/s0002-9947-1990-0955490-0.

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20

Auslander, M., and I. Reiten. "Almost split sequences in dimension two." Advances in Mathematics 66, no. 1 (1987): 88–118. http://dx.doi.org/10.1016/0001-8708(87)90031-4.

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21

Madsen, Dag. "Projective dimensions and almost split sequences." Journal of Algebra 271, no. 2 (2004): 652–72. http://dx.doi.org/10.1016/j.jalgebra.2003.09.015.

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22

Auslander, Maurice, and Jon F. Carlson. "Almost-split sequences and group rings." Journal of Algebra 103, no. 1 (1986): 122–40. http://dx.doi.org/10.1016/0021-8693(86)90173-0.

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23

Rump, Wolfgang. "Almost Split Sequences in Dimension One." Communications in Algebra 38, no. 8 (2010): 2808–24. http://dx.doi.org/10.1080/00927870903085211.

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24

Farnsteiner, R., and G. Röhrle. "Almost split sequences of Verma modules." Mathematische Annalen 322, no. 4 (2002): 701–43. http://dx.doi.org/10.1007/s002080100279.

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25

Hügel, Lidia, and Helmut Valenta. "A duality result for almost split sequences." Colloquium Mathematicum 80, no. 2 (1999): 267–92. http://dx.doi.org/10.4064/cm-80-2-267-292.

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26

Liu, S. "Almost split sequences for non-regular modules." Fundamenta Mathematicae 143, no. 2 (1993): 183–90. http://dx.doi.org/10.4064/fm-143-2-183-190.

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27

Liu, Shiping, and Hongwei Niu. "Almost split sequences in tri-exact categories." Journal of Pure and Applied Algebra 226, no. 11 (2022): 107092. http://dx.doi.org/10.1016/j.jpaa.2022.107092.

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28

Arnold, David M., and Reinhard C. Laubenbacher. "Almost Split Sequences for Dedekind-Like Rings." Journal of the London Mathematical Society s2-43, no. 2 (1991): 225–35. http://dx.doi.org/10.1112/jlms/s2-43.2.225.

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29

Auslander, Maurice, and Idun Reiten. "Almost split sequences for rational double points." Transactions of the American Mathematical Society 302, no. 1 (1987): 87. http://dx.doi.org/10.1090/s0002-9947-1987-0887498-8.

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30

Carlson, Jon F., Sunil K. Chebolu, and Ján Mináč. "Freyd’s generating hypothesis with almost split sequences." Proceedings of the American Mathematical Society 137, no. 08 (2009): 2575. http://dx.doi.org/10.1090/s0002-9939-09-09826-8.

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31

Kleiner, Mark, and Idun Reiten. "Abelian categories, almost split sequences, and comodules." Transactions of the American Mathematical Society 357, no. 8 (2004): 3201–14. http://dx.doi.org/10.1090/s0002-9947-04-03571-8.

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32

Clarke, R. J. "Almost split sequences in a functor category." Journal of Algebra 116, no. 2 (1988): 271–93. http://dx.doi.org/10.1016/0021-8693(88)90218-9.

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33

Solberg, Øyvind. "Strongly graded rings and almost split sequences." Journal of Algebra 126, no. 1 (1989): 176–83. http://dx.doi.org/10.1016/0021-8693(89)90327-x.

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34

Bautista, Raymundo, and Mark Kleiner. "Almost split sequences for relatively projective modules." Journal of Algebra 135, no. 1 (1990): 19–56. http://dx.doi.org/10.1016/0021-8693(90)90148-h.

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35

Pasquali, Andrea. "Tensor products of higher almost split sequences." Journal of Pure and Applied Algebra 221, no. 3 (2017): 645–65. http://dx.doi.org/10.1016/j.jpaa.2016.07.010.

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36

Thévenaz, Jacques. "Relative projective covers and almost split sequences." Communications in Algebra 13, no. 7 (1985): 1535–54. http://dx.doi.org/10.1080/00927878508823237.

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37

Auslander, Maurice, and Idun Reiten. "Almost split sequences for Cohen-Macaulay-modules." Mathematische Annalen 277, no. 2 (1987): 345–49. http://dx.doi.org/10.1007/bf01457367.

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38

Assem, Ibrahim, and Dan Zacharia. "Full embeddings of almost split sequences over split-by-nilpotent extensions." Colloquium Mathematicum 81, no. 1 (1999): 21–31. http://dx.doi.org/10.4064/cm-81-1-21-31.

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39

Chin, William, Mark Kleiner, and Declan Quinn. "Local theory of almost split sequences for comodules." ANNALI DELL UNIVERSITA DI FERRARA 51, no. 1 (2005): 183–96. http://dx.doi.org/10.1007/bf02824830.

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40

YANG, GANG. "ALMOST SPLIT SEQUENCES FOR COMPLEXES VIA RELATIVE HOMOLOGY." Journal of the Korean Mathematical Society 52, no. 5 (2015): 1051–68. http://dx.doi.org/10.4134/jkms.2015.52.5.1051.

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41

Arnold, David M., and Reinhard C. Laubenbacher. "Almost split sequences for dedekind-like rings. II." Communications in Algebra 23, no. 1 (1995): 111–30. http://dx.doi.org/10.1080/00927879508825210.

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42

Stewart, David. "Determining almost split sequences from those over subalgebras." Communications in Algebra 26, no. 9 (1998): 2905–13. http://dx.doi.org/10.1080/00927879808826316.

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43

Paquette, Charles. "A Non-Existence Theorem for Almost Split Sequences." Communications in Algebra 40, no. 12 (2012): 4617–26. http://dx.doi.org/10.1080/00927872.2011.614116.

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44

Nogueira, Maria Teresa A. D., and James A. Green. "Almost split sequences over $$\mathfrak{p}$$ -adic rings." Mathematische Zeitschrift 199, no. 1 (1988): 43–54. http://dx.doi.org/10.1007/bf01160208.

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45

Th�venaz, Jacques. "G-algebras, Jacobson radical and almost split sequences." Inventiones Mathematicae 93, no. 1 (1988): 131–59. http://dx.doi.org/10.1007/bf01393690.

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46

Auslander, Maurice, and Idun Reiten. "Almost split sequences for abelian group graded rings." Journal of Algebra 114, no. 1 (1988): 29–39. http://dx.doi.org/10.1016/0021-8693(88)90209-8.

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47

Hügel, Lidia Angeleri. "Almost Split Sequences Arising from the Preprojective Partition." Journal of Algebra 194, no. 1 (1997): 1–13. http://dx.doi.org/10.1006/jabr.1996.7020.

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48

Bautista, Raymundo, Maria Jose Souto Salorio, and Rita Zuazua. "Almost split sequences for complexes of fixed size." Journal of Algebra 287, no. 1 (2005): 140–68. http://dx.doi.org/10.1016/j.jalgebra.2005.01.032.

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49

HAHN, Dagmar, Rainer ILLISSON, Andres METSPALU та Erwin E. STERCHI. "Human N-benzoyl-l-tyrosyl-p-aminobenzoic acid hydrolase (human meprin): genomic structure of the α and β subunits". Biochemical Journal 346, № 1 (2000): 83–91. http://dx.doi.org/10.1042/bj3460083.

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N-Benzoyl-L-tyrosyl-p-aminobenzoic acid hydrolase (PPH, human meprin), a zinc-metalloendopeptidase of the astacin family, consists of two similar subunits. As well as in small-intestinal epithelial cells, the enzyme is found in lamina propria leucocytes, human cancer cells and colorectal cancer tissue, making it a potential candidate for a role in tumour formation and cancer progression. To elucidate the mechanisms that control PPH gene expression and to gain more insights into the evolutionary relationship of the two subunits, we analysed the complete exon-intron organization and searched for

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50

Suraweera, Chathura D., Suresh Banjara, Mark G. Hinds, and Marc Kvansakul. "Metazoans and Intrinsic Apoptosis: An Evolutionary Analysis of the Bcl-2 Family." International Journal of Molecular Sciences 23, no. 7 (2022): 3691. http://dx.doi.org/10.3390/ijms23073691.

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The B-cell lymphoma-2 (Bcl-2) family is a group of genes regulating intrinsic apoptosis, a process controlling events such as development, homeostasis and the innate and adaptive immune responses in metazoans. In higher organisms, Bcl-2 proteins coordinate intrinsic apoptosis through their regulation of the integrity of the mitochondrial outer membrane; this function appears to have originated in the basal metazoans. Bcl-2 genes predate the cnidarian-bilaterian split and have been identified in porifera, placozoans and cnidarians but not ctenophores and some nematodes. The Bcl-2 family is comp

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