白纸上的字条

Pub Date : 2020-11-01 DOI:10.2478/ausm-2020-0020

P. Danchev

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引用次数: 1

摘要

摘要研究了一类特殊的零干净环，即幂零元是两个“左右对称”幂等元之差的零干净环，并证明了在某些情况下它们是强π正则的。我们还证明了所有具有环单位2群的零净环本身都具有特征2的强零净性(因此它们又是强π正则)。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A note on nil-clean rings

Abstract We study a special kind of nil-clean rings, namely those nil-clean rings whose nilpotent elements are difference of two “left-right symmetric” idempotents, and prove that in some various cases they are strongly π-regular. We also show that all nil-clean rings having cyclic unit 2-groups are themselves strongly nil-clean of characteristic 2 (and thus they are again strongly π-regular).

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