I-Reversible rings

Khurana Anjana; Khurana Dinesh

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I-Reversible rings

机译：我是可逆的戒指

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摘要

We study rings in which ab nonzero idempotent implies ba is also an idempotent. We call such rings i-reversible. Besides studying the basic properties of i-reversible rings, we characterize i-reversible triangular matrix rings, i-reversible matrix rings over commutative rings and i-reversible exchange rings.

机译：我们研究了AB非零Idempotent的戒指意味着BA也是一种幂等。我们称之为i-Reversible。除了研究I-Reversible环的基本性质之外，我们还表征了I-Reversible三角形矩阵环，换向环的I-Reversible矩阵环和I-Reversible交换环。

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来源
《Journal of algebra and its applications》 |2020年第4期|共9页
作者
Khurana Anjana; Khurana Dinesh;
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作者单位

Panjab Univ Dept Math Chandigarh 160014 India;

Panjab Univ Dept Math Chandigarh 160014 India;

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原文格式 PDF
正文语种 eng
中图分类代数、数论、组合理论;
关键词
Idempotents; reversible rings; triangular matrix rings; matrix rings; exchange rings;

机译：Idempotents;可逆环;三角形矩阵戒指;矩阵环;交换戒指;

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机译：我是可逆的戒指
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I-Reversible rings

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