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关于弱Abel环(英文) 被引量：2

On Weakly-Abelian Rings
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摘要 对弱Abel环进行了研究,得到了一系列新的性质和刻划,推广了已知的结果,并讨论了弱Abel环与其他环类之间的关系. Weakly-abelian rings were investigated. A series of new characterizations and properties on this kind of rings were given and some known results were generalized. The relations between weakly-abelian rings and other classes of rings were discussed.
作者 宛凌宇
机构地区 杭州师范大学理学院
出处 《信阳师范学院学报（自然科学版）》 CAS 北大核心 2012年第3期285-288,共4页 Journal of Xinyang Normal University(Natural Science Edition)
基金 The Creative Seed of Hangzhou Normal University
关键词 弱Abel环 ABEL环 幂等元 JACOBSON根 weakly-abelian rings abelian rings idempotent elements Jacobson radicals
分类号 O153.3 [理学—基础数学]
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参考文献8

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  • 2Chen W X.On semiabelianπ-regular rings[J].Intern J Math Sci,2007,23:1-10.
  • 3Wei J C.Some applications of idempotents in ring theory[D].Yangzhou:Yangzhou University,2010.
  • 4Cohn P M.Reversible rings[J].Bull London Math Soc,1999,31:641-648.
  • 5Lambek J.On the representation of modules by sheaves of factor moudules[J].Canad Math Bull,1971,14(3):359-368.
  • 6Anderson D D,Camillo V.Semigroups and rings whose zero products commute[J].Comm Algebra,1999,27(6):2847-2852.
  • 7Krempa J,Niewieczerzal D.Rings in which annihilators are ideals and their application to semigroup rings[J].Bull Acad Polon Sci Ser SciMath Astronom Phys,1977,25:851-856.
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同被引文献12

  • 1郭勇华,易忠.Quasi-dual模和V-环的一个新的推广(英文)[J].广西师范大学学报（自然科学版）,2005,23(3):33-37. 被引量：1
  • 2Morita K. Duality for modules and its applications to the theory of rings with minimum condition [ J ]. Science Reports of the To- kyo Kyoiku Daigaku:Sect A,1958,6(150) : 83 - 142.
  • 3Borooah G, Diesl A J, Dorsey T J. Strongly clean matrix rings over commutative local rings [ J ]. J Pure Appl Algebra,2008,212 (1) : 281 - 296.
  • 4Krylov P A, Tuganbaev A A. Modules over formal matrix rings [ J ]. Journal of Mathematical Sciences,2010,171 ( 2 ) : 248 - 295.
  • 5Tang Gaohua, Zhou Yiqiang. A class of formal matrix rings [ J ]. Linear Algebra Appl,2013,438 ( 12 ) :4672 - 4688.
  • 6Tang Gaohua,Zhou Yiqiang. Strong cleanness of generalized matrix tings over a local ring[J]. Linear Algebra Appl,2012,437 (10) : 2546 - 2559.
  • 7Harte R E. On quasinilpotents in rings[ J]. Panamer Math J, 1991 (1) : 10-16.
  • 8Koliha J J, Patricio P. Elements of rings with equal spectral idempotents[ J]. J Austral Math Soc,2002,72( 1 ) :137 - 152.
  • 9Ying Zhiling, Chen Jianlong. On quasipolar rings [J].Algebra Colloq,2012,19 (4) : 683 - 692.
  • 10Cui Jian, Chen Jianlong. When is a 2 x 2 matrix ring over a commutative local ring quasipolar? [ J]. Comm Algebra ,2011,39 (9) : 3212 -3221.

引证文献2

信阳师范学院学报（自然科学版）
2012年 第3期

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