REGULARITY AND IDEALS IN NEAR-SEMIRINGS

IF 0.2 Q4 MATHEMATICS

JP Journal of Algebra Number Theory and Applications Pub Date : 2023-01-27 DOI:10.17654/0972555523003

U. Leerawat, Benya Setthanarak

引用次数: 0

Abstract

In this paper, we investigate conditions that force regular near-semirings (additive or multiplicative regular near-semirings) to be idempotent (additive idempotent). In addition, we study some kinds of ideals as p-ideals and subtractive ideals in near-semirings and investigate their properties in near-semirings. Finally, we define two congruence relations on a near-semiring, and an additive inverse regular near-semiring, respectively. Then we give constructions of quotient near-semirings induced by congruence relations.

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半近邻中的规则和理想

研究了正则近半环(加性或乘性正则近半环)幂等(加性幂等)的条件。此外，我们研究了近半环中的p理想和相减理想，并研究了它们在近半环中的性质。最后，我们分别在一个近半环和一个可加逆正则近半环上定义了两个同余关系。然后给出了由同余关系导出的商近半环的构造。

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

JP Journal of Algebra Number Theory and Applications MATHEMATICS-

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期刊介绍： The JP Journal of Algebra, Number Theory and Applications is a peer-reviewed international journal. Original research papers theoretical, computational or applied, in nature, in any branch of Algebra and Number Theory are considered by the JPANTA. Together with the core topics in these fields along with their interplay, the journal promotes contributions in Diophantine equations, Representation theory, and Cryptography. Realising the need of wide range of information for any emerging area of potential research, the journal encourages the submission of related survey articles as well.