积分域上$2\times2$nil干净矩阵的刻画

Q3 Mathematics

Journal of Algebra Combinatorics Discrete Structures and Applications Pub Date : 2018-09-08 DOI:10.13069/jacodesmath.451229

K. N. Rajeswari, Umesh Gupta

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引用次数: 0

摘要

设$R$是任何具有恒等的环。如果$a=e+n$其中$e$是幂等元素而$n$是幂等元素，则$a \在R$中被称为零元素。本文给出了积分域$R$上的$2\ × 2$矩阵是零清洁的充要条件。

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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Characterization of $2\times 2$ nil-clean matrices over integral domains

Let $R$ be any ring with identity. An element $a \in R$ is called nil-clean, if $a=e+n$ where $e$ is an idempotent element and $n$ is a nil-potent element. In this paper we give necessary and sufficient conditions for a $2\times 2$ matrix over an integral domain $R$ to be nil-clean.

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来源期刊

Journal of Algebra Combinatorics Discrete Structures and Applications Mathematics-Algebra and Number Theory

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

5 weeks