clean环中的几个上三角矩阵环

辽宁石油化工大学学报 ›› 2013, Vol. 33 ›› Issue (1): 94-96.

• 其他学科 • 上一篇

clean环中的几个上三角矩阵环

温立书

辽宁石油化工大学理学院,辽宁抚顺113001

收稿日期:2012-07-06 出版日期:2013-03-25 发布日期:2017-07-14
作者简介:温立书(1978-),女,辽宁康平县,副教授,硕士

Several Upper Triangular Matrix Rings of Clean Rings

WEN Lishu

college of Sciences,Liaoning Shihua University,Fushun Liaoning 113001，China

Received:2012-07-06 Published:2013-03-25 Online:2017-07-14

摘要/Abstract

摘要： 研究了clean环中的几个上三角矩阵环。通过将clean环的定义推广到任意环(不必有1),得到若R
是clean环,G 是阶为2的群,满足一定条件,群环RG 也是clean环;证明了一些上三角矩阵环是强clean环。最后
推广了一些结论,得到一些上三角矩阵环是强f飊clean环。

关键词: clean环 , 强clean环 , f-clean环 , 上三角矩阵环

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.

Key words: Clean ring , Strongly clean ring , f-Clean ring , Some upper triangular matrix rings

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.

WEN Lishu. Several Upper Triangular Matrix Rings of Clean Rings[J]. Journal of Liaoning Petrochemical University, 2013, 33(1): 94-96.

clean环中的几个上三角矩阵环

Several Upper Triangular Matrix Rings of Clean Rings

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