Journal articles on the topic 'An elementary divisor ring'
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Chen, Huanyin, and Marjan Sheibani Abdolyousefi. "Elementary matrix reduction over Bézout domains." Journal of Algebra and Its Applications 18, no. 08 (July 5, 2019): 1950141. http://dx.doi.org/10.1142/s021949881950141x.
Full textZabavsky, B. V., O. Romaniv, B. Kuznitska, and T. Hlova. "Comaximal factorization in a commutative Bezout ring." Algebra and Discrete Mathematics 30, no. 1 (2020): 150–60. http://dx.doi.org/10.12958/adm1203.
Full textKABBOUR, 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.
Full textGatalevich, A. I., and B. V. Zabavs'kii. "Noncommutative elementary divisor rings." Journal of Mathematical Sciences 96, no. 2 (August 1999): 3013–16. http://dx.doi.org/10.1007/bf02169697.
Full textZabavskii, B. V. "Noncommutative elementary divisor rings." Ukrainian Mathematical Journal 39, no. 4 (1988): 349–53. http://dx.doi.org/10.1007/bf01060766.
Full textZabavs’kyi, B. V. "A Sharp Bézout Domain is an Elementary Divisor Ring." Ukrainian Mathematical Journal 66, no. 2 (July 2014): 317–21. http://dx.doi.org/10.1007/s11253-014-0932-9.
Full textZabavsky, B. V., and O. M. Romaniv. "Commutative Bezout domains in which any nonzero prime ideal is contained in a finite set of maximal ideals." Carpathian Mathematical Publications 10, no. 2 (December 31, 2018): 402–7. http://dx.doi.org/10.15330/cmp.10.2.402-407.
Full textZabavsky, Bohdan. "Rings of dyadic range 1." Journal of Algebra and Its Applications 18, no. 11 (August 19, 2019): 1950206. http://dx.doi.org/10.1142/s0219498819502062.
Full textZabavs’kyi, B. V., and B. M. Kuznits’ka. "A Stable Range of Class Full Matrices over Elementary Divisor Ring." Ukrainian Mathematical Journal 66, no. 5 (October 2014): 792–95. http://dx.doi.org/10.1007/s11253-014-0973-0.
Full textZabavsky, B. V., O. V. Domsha, and O. M. Romaniv. "Clear rings and clear elements." Matematychni Studii 55, no. 1 (March 3, 2021): 3–9. http://dx.doi.org/10.30970/ms.55.1.3-9.
Full textZheng, Licui, Jinwang Liu, and Weijun Liu. "Generalized Serre Problem over Elementary Divisor Rings." Mathematical Problems in Engineering 2015 (2015): 1–5. http://dx.doi.org/10.1155/2015/926046.
Full textZabavsky, B. V., and O. V. Pihura. "Gelfand local Bezout domains are elementary divisor rings." Carpathian Mathematical Publications 7, no. 2 (December 19, 2015): 188–90. http://dx.doi.org/10.15330/cmp.7.2.188-190.
Full textBohdan, Zabavsky. "Conditions for stable range of an elementary divisor rings." Communications in Algebra 45, no. 9 (November 21, 2016): 4062–66. http://dx.doi.org/10.1080/00927872.2016.1259418.
Full textZabavs’kyi, B. V., and M. Ya Komarnyts’kyi. "Cohen-type theorem for adequacy and elementary divisor rings." Journal of Mathematical Sciences 167, no. 1 (April 30, 2010): 107–11. http://dx.doi.org/10.1007/s10958-010-9906-0.
Full textDmytruk, 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.
Full textSorokin, O. S. "Finite homomorphic images of Bezout duo-domains." Carpathian Mathematical Publications 6, no. 2 (December 29, 2014): 360–66. http://dx.doi.org/10.15330/cmp.6.2.360-366.
Full textEljeri, Mosbah. "The EA-Dimension of a Commutative Ring." ISRN Algebra 2013 (December 26, 2013): 1–6. http://dx.doi.org/10.1155/2013/293207.
Full textMayer, Daniel C. "Quadratic p-ring spaces for counting dihedral fields." International Journal of Number Theory 10, no. 08 (October 29, 2014): 2205–42. http://dx.doi.org/10.1142/s1793042114500754.
Full textCOYETTE, CÉCILE. "MAL'CEV–NEUMANN RINGS AND NONCROSSED PRODUCT DIVISION ALGEBRAS." Journal of Algebra and Its Applications 11, no. 03 (May 24, 2012): 1250052. http://dx.doi.org/10.1142/s0219498811005804.
Full textZabavskii, B. V., and N. Ya Komarnitskii. "Distributive elementary divisor domains." Ukrainian Mathematical Journal 42, no. 7 (July 1990): 890–92. http://dx.doi.org/10.1007/bf01062100.
Full textTuganbaev, A. A. "Rings of elementary divisors and distributive rings." Russian Mathematical Surveys 46, no. 6 (December 31, 1991): 230–32. http://dx.doi.org/10.1070/rm1991v046n06abeh002857.
Full textZabavskii, B. V. "On noncommutative rings with elementary divisors." Ukrainian Mathematical Journal 42, no. 6 (June 1990): 748–50. http://dx.doi.org/10.1007/bf01058928.
Full textHirano, Yasuyuki. "On rings all of whose factor rings are integral domains." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 55, no. 3 (December 1993): 325–33. http://dx.doi.org/10.1017/s1446788700034078.
Full textGuralnick, Robert M., Lawrence S. Levy, and Charles Odenthal. "Elementary divisor theorem for noncommutative PIDs." Proceedings of the American Mathematical Society 103, no. 4 (April 1, 1988): 1003. http://dx.doi.org/10.1090/s0002-9939-1988-0954973-3.
Full textLorenzini, Dino. "Elementary Divisor domains and Bézout domains." Journal of Algebra 371 (December 2012): 609–19. http://dx.doi.org/10.1016/j.jalgebra.2012.08.020.
Full textBrown, W. J., and D. D. Rockey. "Identification of an Antigen Localized to an Apparent Septum within Dividing Chlamydiae." Infection and Immunity 68, no. 2 (February 1, 2000): 708–15. http://dx.doi.org/10.1128/iai.68.2.708-715.2000.
Full textREDMOND, SHANE P. "RECOVERING RINGS FROM ZERO-DIVISOR GRAPHS." Journal of Algebra and Its Applications 12, no. 08 (July 31, 2013): 1350047. http://dx.doi.org/10.1142/s0219498813500473.
Full textÐurić, Alen, Sara Jevđenić, Polona Oblak, and Nik Stopar. "The total zero-divisor graph of a commutative ring." Journal of Algebra and Its Applications 18, no. 10 (August 6, 2019): 1950190. http://dx.doi.org/10.1142/s0219498819501901.
Full textEsin, Songül, Müge Kanuni, Ayten Koç, Katherine Radler, and Kulumani M. Rangaswamy. "On Prüfer-like properties of Leavitt path algebras." Journal of Algebra and Its Applications 19, no. 07 (July 5, 2019): 2050122. http://dx.doi.org/10.1142/s0219498820501224.
Full textSimonetta, Patrick. "Une correspondance entre anneaux partiels et groupes." Journal of Symbolic Logic 62, no. 1 (March 1997): 60–78. http://dx.doi.org/10.2307/2275732.
Full textNazary, Abdul Jamil. "Role of zero-divisor graph in power set ring." International Journal of Innovative Research and Scientific Studies 4, no. 3 (June 30, 2021): 181–85. http://dx.doi.org/10.53894/ijirss.v4i3.75.
Full textNagy, Béla. "Inverse elementary divisor problems for nonnegative matrices." Operators and Matrices, no. 2 (2011): 289–301. http://dx.doi.org/10.7153/oam-05-20.
Full textHillman, Jonathan A. "Knot modules and the elementary divisor theorem." Journal of Pure and Applied Algebra 40 (1986): 115–24. http://dx.doi.org/10.1016/0022-4049(86)90034-4.
Full textAfkhami, Mojgan. "The cozero-divisor graph of a noncommutative ring." Journal of Algebra and Its Applications 13, no. 08 (June 24, 2014): 1450062. http://dx.doi.org/10.1142/s0219498814500625.
Full textSiddiqui, Hafiz Muahmmad Afzal, Ammar Mujahid, Muhammad Ahsan Binyamin, and Muhammad Faisal Nadeem. "On Certain Bounds for Edge Metric Dimension of Zero-Divisor Graphs Associated with Rings." Mathematical Problems in Engineering 2021 (December 29, 2021): 1–7. http://dx.doi.org/10.1155/2021/5826722.
Full textGhashghaei, E., M. Tamer Koşan, M. Namdari, and T. Yildirim. "Rings in which every left zero-divisor is also a right zero-divisor and conversely." Journal of Algebra and Its Applications 18, no. 05 (May 2019): 1950096. http://dx.doi.org/10.1142/s0219498819500968.
Full textKumar, Ravindra, and Om Prakash. "Divisor graph of the complement of Γ(R)." Asian-European Journal of Mathematics 12, no. 04 (July 2, 2019): 1950057. http://dx.doi.org/10.1142/s1793557119500578.
Full textTian, Yanzhao, and Lixiang Li. "Comments on the Clique Number of Zero-Divisor Graphs of Z n." Journal of Mathematics 2022 (March 29, 2022): 1–11. http://dx.doi.org/10.1155/2022/6591317.
Full textCaldeira, Cristina, and João Filipe Queiró. "Invariant factors of products over elementary divisor domains." Linear Algebra and its Applications 485 (November 2015): 345–58. http://dx.doi.org/10.1016/j.laa.2015.07.038.
Full textDas, Biswajit, and Shreemayee Bora. "Nearest Matrix Polynomials With a Specified Elementary Divisor." SIAM Journal on Matrix Analysis and Applications 41, no. 4 (January 2020): 1505–27. http://dx.doi.org/10.1137/19m1286505.
Full textAkgunes, Nihat, and Yasar Nacaroglu. "Some properties of zero divisor graph obtained by the ring Zp × Zq × Zr." Asian-European Journal of Mathematics 12, no. 06 (October 14, 2019): 2040001. http://dx.doi.org/10.1142/s179355712040001x.
Full textKUZMINA, A. S. "FINITE RINGS WITH EULERIAN ZERO-DIVISOR GRAPHS." Journal of Algebra and Its Applications 11, no. 03 (May 24, 2012): 1250055. http://dx.doi.org/10.1142/s0219498812500557.
Full textJafari Rad, Nader, Sayyed Heidar Jafari, and Doost Ali Mojdeh. "On Domination in Zero-Divisor Graphs." Canadian Mathematical Bulletin 56, no. 2 (June 1, 2013): 407–11. http://dx.doi.org/10.4153/cmb-2011-156-1.
Full textAnsari-Toroghy, Habibollah, Faranak Farshadifar, and Farideh Mahboobi-Abkenar. "An ideal-based cozero-divisor graph of a commutative ring." Boletim da Sociedade Paranaense de Matemática 40 (January 18, 2022): 1–8. http://dx.doi.org/10.5269/bspm.43261.
Full textLiu, H. Q. "The Dirichlet Divisor Problem of Arithmetic Progressions." Canadian Mathematical Bulletin 59, no. 3 (September 1, 2016): 592–98. http://dx.doi.org/10.4153/cmb-2016-029-5.
Full textKuzmina, A. S., and Yu N. Maltsev. "ON VARIETIES OF RINGS WHOSE FINITE RINGS ARE DETERMINED BY THEIR ZERO-DIVISOR GRAPHS." Asian-European Journal of Mathematics 05, no. 02 (June 2012): 1250019. http://dx.doi.org/10.1142/s1793557112500192.
Full textAlkam, Osama, and Emad Abu Osba. "Zero Divisor Graph for the Ring of Eisenstein Integers Modulo n." Algebra 2014 (December 15, 2014): 1–6. http://dx.doi.org/10.1155/2014/146873.
Full textAFKHAMI, M., K. KHASHYARMANESH, and M. R. KHORSANDI. "ZERO-DIVISOR GRAPHS OF ÖRE EXTENSION RINGS." Journal of Algebra and Its Applications 10, no. 06 (December 2011): 1309–17. http://dx.doi.org/10.1142/s0219498811005191.
Full textHashemi, E., R. Amirjan, and A. Alhevaz. "On zero-divisor graphs of skew polynomial rings over non-commutative rings." Journal of Algebra and Its Applications 16, no. 03 (March 2017): 1750056. http://dx.doi.org/10.1142/s0219498817500566.
Full textFACCHINI, ALBERTO, and FRANZ HALTER-KOCH. "PROJECTIVE MODULES AND DIVISOR HOMOMORPHISMS." Journal of Algebra and Its Applications 02, no. 04 (December 2003): 435–49. http://dx.doi.org/10.1142/s0219498803000593.
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