任意域上2×2矩阵环的拟可逆性

IF 0.6 Q3 MATHEMATICS

Kyungpook Mathematical Journal Pub Date : 2020-03-31 DOI:10.5666/KMJ.2020.60.1.71

D. Heidari, B. Davvaz

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引用次数: 0

摘要

如果0 6= ab∈I(R)，对于A, b∈R意味着ba∈I(R)，其中I(R)是R中所有幂等元的集合，则环R是拟可逆的。本文证明了任意域上2×2矩阵环是拟可逆的，这是对Da Woon Jung等人在[Bull]中的问题的回答。韩国的数学。Soc。生态学报，56(4)(2019)993-1006。

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Quasi-reversibility of the Ring of 2×2 Matrices over an Arbitrary Field

A ring R is quasi-reversible if 0 6= ab ∈ I(R) for a, b ∈ R implies ba ∈ I(R), where I(R) is the set of all idempotents in R. In this short paper, we prove that the ring of 2×2 matrices over an arbitrary field is quasi-reversible, which is an answer to the question given by Da Woon Jung et al. in [Bull. Korean Math. Soc., 56(4) (2019) 993-1006].

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来源期刊

Kyungpook Mathematical Journal MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Kyungpook Mathematical Journal is an international journal devoted to significant research concerning all aspects of mathematics. The journal has a preference for papers having a broad interest. One volume of the journal is published every year. Each volume until volume 42 consisted of two issues; however, starting from volume 43(2003), each volume consists of four issues. Authors should strive for expository clarity and good literary style. Manuscripts should be prepared as follows. The first page must consist of a short descriptive title, followed by the name(s) and address(es) of the author(s) along with an electronic address if available.