Nil clean rings

Nil clean rings
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DOI:
10.1016/j.jalgebra.2013.02.020
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发表时间:
2013-06
期刊:
影响因子:
0.9
通讯作者:
A. Diesl
A. Diesl
中科院分区:
数学3区
文献类型:
--
作者:
A. Diesl

文献摘要

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许多不同的作者已经研究过清洁和强烈清洁概念的许多变体。我们发展了一个基于幂等元和直和分解的一般理论,它统一了这些现有的几个概念。作为一个具体的例子,我们还研究了一类新的清洁环。
Many variations of the notions of clean and strongly clean have been studied by a variety of authors. We develop a general theory, based on idempotents and direct sum decompositions, that unifies several of these existing concepts. As a specific case, we also investigate a new class of clean rings.