REGULARITY AND IDEALS IN NEAR-SEMIRINGS
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Published:2023-01-27
Issue:1
Volume:60
Page:39-57
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ISSN:0972-5555
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Container-title:JP Journal of Algebra, Number Theory and Applications
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language:
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Short-container-title:JPANTA
Author:
Leerawat Utsanee,Setthanarak Benya
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.
Publisher
Pushpa Publishing House
Subject
Algebra and Number Theory