数学季刊 ›› 1998, Vol. 13 ›› Issue (2): 67-71.

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A Note on the π- regularity of Rings

  

  1. Department of Mathematics,Hunan Normal University,Changsha

  • 收稿日期:1997-03-17 出版日期:1998-06-30 发布日期:2024-10-31

A Note on the π- regularity of Rings

  1. Department of Mathematics,Hunan Normal University,Changsha
  • Received:1997-03-17 Online:1998-06-30 Published:2024-10-31

摘要: In this paper,we investigate unitπ regularity and strongly π regularity. We show that every corner ring eRe inherits the unit π regularity from a ring R. We also generalize some important characterizations of abelian regular rings to π regular rings and describe strongly π regular rings by virtue of group members.

关键词: unit π-regularity, strongly π-regularity, group members

Abstract: In this paper,we investigate unitπ regularity and strongly π regularity. We show that every corner ring eRe inherits the unit π regularity from a ring R. We also generalize some important characterizations of abelian regular rings to π regular rings and describe strongly π regular rings by virtue of group members.

Key words: unit π-regularity, strongly π-regularity, group members

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