Complemented Semiring Satisfying the Identity u + 1 = 1 + u = u

., Chandrakala H.K and Rajeswari, A. (2025) Complemented Semiring Satisfying the Identity u + 1 = 1 + u = u. In: Innovative Solutions: A Systematic Approach Towards Sustainable Future, Edition 1. 1 ed. BP International, pp. 50-58. ISBN 978-93-49238-02-2

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Abstract

This paper contains some results on complemented semirings involving one variable. We consider complemented semiring (S1, +, .) satisfying the identity u + 1=1 + u = u for all u, v in S1 then it is proved that (S1, +) is quasi, weakly, separative and also (S1, +, .) is an idempotent. For this complemented semiring we also determine the additive and multiplicative structures. Complemented semiring is holds and equivalent many results by using the identity u + 1 = 1 + u = u for all u, v in S1.

Item Type: Book Section
Subjects: STM Academic > Social Sciences and Humanities
Depositing User: Unnamed user with email support@stmacademic.com
Date Deposited: 20 Feb 2025 05:08
Last Modified: 20 Feb 2025 05:08
URI: http://article.researchpromo.com/id/eprint/2809

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