On the Generalized Strongly Nil-Clean Property of Matrix Rings

IF 0.4 4区数学 Q4 MATHEMATICS

Algebra Colloquium Pub Date : 2021-11-08 DOI:10.1142/s1005386721000481

A. Kostic, Z. Petrovic, Zoran S. Pucanovic, Maja Roslavcev

引用次数: 0

Abstract

Let [Formula: see text] be an associative unital ring and not necessarily commutative. We analyze conditions under which every [Formula: see text] matrix [Formula: see text] over [Formula: see text] is expressible as a sum [Formula: see text] of (commuting) idempotent matrices [Formula: see text] and a nilpotent matrix [Formula: see text].

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关于矩阵环的广义强Nil-Clean性质

设[公式:见正文]是一个结合酉环，不一定是可交换的。我们分析了每个[公式:见文]矩阵[公式:见文]/[公式:见文]可表示为(交换)幂等矩阵[公式:见文]和幂零矩阵[公式:见文]的和[公式:见文]的条件。

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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来源期刊

Algebra Colloquium 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

625

审稿时长

15.6 months

期刊介绍： Algebra Colloquium is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. Papers from related areas which have applications to algebra are also considered for publication. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.