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Clean环中的几个上三角矩阵环

温立书

辽宁石油化工大学学报2013,Vol.33Issue(1):94-96,3.
辽宁石油化工大学学报2013,Vol.33Issue(1):94-96,3.DOI:10.3696/j.issn.1672-6952.2013.01.024

Clean环中的几个上三角矩阵环

Several Upper Triangular Matrix Rings of Clean Rings

温立书1

作者信息

  • 1. 辽宁石油化工大学理学院,辽宁抚顺113001
  • 折叠

摘要

Abstract

Several upper triangular matrix rings of clean rings were studied.By the definition of a clean ring (with 1) is extended to any ring (not necessarily with 1),some results were proved:Let R be a clean ring,and let G be a group of order 2,then group ring RG is also a clean ring under some conditions.Several upper triangular matrix rings are strongly clean rings.Then several results of clean rings were extended; some upper triangular matrix rings are a strongly f-clean rings.

关键词

clean环/强clean环/f-clean环/上三角矩阵环

Key words

Clean ring/ Strongly clean ring/ f-Clean ring/ Some upper triangular matrix rings

分类

数理科学

引用本文复制引用

温立书..Clean环中的几个上三角矩阵环[J].辽宁石油化工大学学报,2013,33(1):94-96,3.

辽宁石油化工大学学报

1672-6952

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