强烈清洁的半成品

IF 0.8 4区综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2024-04-28 DOI:10.1007/s40010-024-00875-x

D. Das, S. Kar

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引用次数: 0

摘要

在本文中，我们将研究强干净配线的概念。设 S 是一个配系。如果 \(a = e + u\) 中的 e 是 S 中的一个幂等元素，而 u 是 S 中的一个单位，使得 \(eu=ue\) 称为强干净元素。如果 S 中的每个非零元素都是强干净的，那么我们就说 S 是强干净的。我们主要研究强干净配线的概念，并得到强干净配线与交换配线、反简单配线和逆配线相关的一些重要特征。

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Strongly Clean Semiring

In this paper, we study the concept of strongly clean semiring. Let S be a semiring. An element \(a\in S\) is called strongly clean if \(a = e + u\) with e an idempotent in S and u a unit in S such that \(eu=ue\). A semiring S is said to be strongly clean if every nonzero element of S is strongly clean. We mainly study the notion of strongly clean semiring and obtain some important characterizations of strongly clean semiring in connection with exchange semiring, antisimple semiring and inverse semiring.

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来源期刊

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences 综合性期刊-综合性期刊

CiteScore

2.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： To promote research in all the branches of Science & Technology; and disseminate the knowledge and advancements in Science & Technology