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α-可逆环的推广 被引量:1

On a generalization of α-reversible rings
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摘要 设α环R的自同态。引入了弱α-可逆环的定义,研究了弱α-可逆环的一些性质和扩张,给出了弱α-可逆环与弱α-Skew Armendariz环的关系。 Let α be a ring endomorphism α. Weak a-reversible rings are introduced which generalized α-reversible rings, some extension of weak α-reversible rings and their properties are investigated. The relations between weak α-reversible rings and weak α-skew Annendariz rings are obtained.
作者 董珺 魏杰
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2009年第8期62-67,共6页 Journal of Shandong University(Natural Science)
基金 甘肃省教育厅科研资助项目(0813B-01)
关键词 弱α-可逆环 弱α-Skew ARMENDARIZ环 约化环 α-刚性环 weak α-reversible ring weak α-skew Armendariz ring reduced ring α-rigid ring
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参考文献7

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  • 2BASER M, HONG C Y, KWAK T K. On extended reversible rings[J]. Algebra Colloq, 2009, 16(1) :37-48.
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同被引文献9

  • 1Cohn P M.Reversible Rings. Bull.Londou Math.Son . 1993
  • 2Huh C,Kim N K,Lee Y.Basic examples and extensions of symmetric rings. JPure Appl .
  • 3G. Yang,,Z. K. Liu.On Strongly Reversible Rings. Taiwan Residents Journal of Mathematics . 2008
  • 4Nam Kyun Kim,Yang Lee.Extensions of reversible rings. Journal of Pure and Applied Algebra . 2003
  • 5BASER M,HONG C Y,KWAKTK.On extended reversible rings. Algebra Colloquium . 2009
  • 6Marks G.Reversible and symmetric rings. Journal of Pure and Applied Algebra . 2002
  • 7Quyang L Q,chen H Y.On weak symmetric rings. Communications in Algebra . 2010
  • 8Zhao Liang,Yang Gang.On weakly reversible rings. Acta Math. Univ.Comenianae . 2007
  • 9ANDERSON D D,CAMILLO V.Semigroups and rings whose zero products commute. Communications in Algebra . 1999

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