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唯一强Clean群环

昝立博

南京信息工程大学学报2016,Vol.8Issue(5):479-480,2.
南京信息工程大学学报2016,Vol.8Issue(5):479-480,2.DOI:10.13878/j.cnki.jnuist.2016.05.012

唯一强Clean群环

Uniquely strongly clean group rings

昝立博1

作者信息

  • 1. 南京信息工程大学 数学与统计学院,南京,210044
  • 折叠

摘要

Abstract

A ring is called uniquely strongly clean if every element is uniquely the sum of an idempotent and a unit that commute.The structure of uniquely strongly clean group rings is studied in this paper.It is proved that if G is a locally fi⁃nite group,then group ring RG is uniquely strongly clean if and only if R is uniquely strongly clean and G is a 2⁃group.

关键词

群环/clean环/强clean环/唯一强clean环/唯一clean环

Key words

group ring/clean ring/strongly clean ring/uniquely strongly clean ring/uniquely clean ring

分类

数理科学

引用本文复制引用

昝立博..唯一强Clean群环[J].南京信息工程大学学报,2016,8(5):479-480,2.

基金项目

江苏省自然科学青年基金 ()

南京信息工程大学学报

OACSTPCD

1674-7070

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