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Von Neumannian Regularity in Semirings
M.K. Sen,Prianka Mukhopadhyay +1 more
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In this article, it was shown that the semiring of a1l metrices over a multiplicatively commutative semiring R in which for each,, there exist such that is a regular semiring can be characterized by k-ideals.Abstract:
A semi ring R is said to be regular in the sense of VON NEUMANN if for every element there exist some such that a + axa = aya. The main purpose of this paper is to show that the semiring of a1l metrices over a multiplicatively commutative semiring R in which for each , , there exist such that is a regular semiring. Another aim of this paper is to characterize the regularity condition by k-ideals.read more
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Journal ArticleDOI
Characterizations of Hemirings by the Properties of Their k-Ideals
Muhammad Shabir,Rukhshanda Anjum +1 more
TL;DR: In this paper, the space of prime k-ideals (fuzzy k-prime k-idals) is topologized and the authors characterize those hemirings for which each K-ideal is idempotent.
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1-(2-) Prime Ideals in Semirings
TL;DR: In this article, the concepts of 1-prime and 2-prime ideals in semirings were introduced and the m1-system and m2-system in semiring were also introduced.
Journal ArticleDOI
ON k-BI-IDEALS IN HEMIRINGS
Muhammad Shabir,Rukhshanda Anjum +1 more
TL;DR: In this paper, the authors define prime, strongly prime and semiprime k-bi-ideals of a hemiring and also define their fuzzy versions and characterize hemirings by the properties of these k-bideals.
Journal Article
Characterization of Regular Semirings
TL;DR: In this paper, the main purpose of this paper is to establish necessary and suucient conditions for a semiring to be regular in terms of its k-ideals, in which the semiring is defined as a regular semiring.