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关于γ-semiclean环

宋贤梅 梅玉霞

数学杂志2013,Vol.33Issue(4):609-616,8.
数学杂志2013,Vol.33Issue(4):609-616,8.

关于γ-semiclean环

ON γ-SEMICLEAN RINGS

宋贤梅 1梅玉霞1

作者信息

  • 1. 安徽师范大学数学系,安徽芜湖 241000
  • 折叠

摘要

Abstract

In this paper,the notion of the new ring,i.e.,a γ-semiclean is defined.A ring R,each of whose element is the sum of a regular and a periodic element,is said to be γ-semiclean.Some general properties of γ-semiclean are investigated based on the theory of rings,which generalize some known results on clean rings and semiclean rings.

关键词

clean环/半-clean环/γ-semiclean环

Key words

clean rings/ semiclean rings/ γ-semiclean rings

分类

数理科学

引用本文复制引用

宋贤梅,梅玉霞..关于γ-semiclean环[J].数学杂志,2013,33(4):609-616,8.

基金项目

Supported by NSFC(10571026) and the Key NSF of Anhui Educational Committee (KJ2010A126). (10571026)

数学杂志

OA北大核心CSCDCSTPCD

0255-7797

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