PRIMARY IDEALS IN $\Gamma-$SEMIRINGS

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 33

Volume : 12 , Issue : 1
DOI: https://doi.org/10.56827/JRSMMS.2024.1201.7
Author :
Tilak Raj Sharma (Department of Mathematics, Himachal Pradesh University, Regional Centre Khaniyara Dharamshala - 176218, Himachal Pradesh, INDIA)

Abstract

From an algebraic point of view, $\Gamma-$ semirings provide the most natural generalization of the theory of semirings. In this paper, we summarize the semiring theoretic results concerning the primary ideals and their radicals to non-commutative $ \Gamma-$ semirings.

Keywords and Phrases

Noetherian $ \Gamma- $semirings, prime ideal, semiprime ideal and primary ideal.

A.M.S. subject classification

16Y60, 16U40.

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