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山东大学学报(理学版) ›› 2015, Vol. 50 ›› Issue (03): 88-94.doi: 10.6040/j.issn.1671-9352.0.2014.333

• 论文 • 上一篇    

α-可逆环的推广

魏杰, 董珺   

  1. 兰州工业学院 基础学科部, 甘肃 兰州 730050
  • 收稿日期:2014-07-15 修回日期:2014-12-30 出版日期:2015-03-20 发布日期:2015-03-13
  • 作者简介:魏杰(1980- ), 女, 硕士, 讲师, 研究方向为代数学及数学教学论.E-mail:450547606@qq.com
  • 基金资助:
    国家自然科学基金资助项目(11101197);兰州工业学院科技计划项目(10K-11)

On a generalization of strongly α-revesible rings

WEI Jie, DONG Jun   

  1. Department of Basic Courses, Lanzhou Polytechnic College, Lanzhou 730050, Gansu, China
  • Received:2014-07-15 Revised:2014-12-30 Online:2015-03-20 Published:2015-03-13

摘要: 引入了比强α-可逆环更广的两类环:强(M-)α-自反环,并研究了它们的性质。证明了强α-自反环是强α-可逆环的真推广。讨论了强(M-)α-自反环的扩张,得到了它们的一些性质。

关键词: (强)&alpha, -可逆环, -自反环, M-&alpha, 约化环, -自反环, (强)&alpha

Abstract: The notions of strongly (M-)α-reflexive rings are introduced which are a general version of strongly α-revesible rings, and investigate their properties. It is show that strongly α-revesible rings are strongly α-reflexive rings, but the converse is not true. And argue about the strongly (M-)α-reflexivity of some kinds of extensions. A number of properties of these versions are established.

Key words: reduce ring, (strongly) α-revesible ring, strongly M-α-reflexive ring, (strongly) α-reflexive ring

中图分类号: 

  • O153.3
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[2] 董珺 魏杰. α-可逆环的推广[J]. J4, 2009, 44(8): 62-67.
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