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ArticleOriginal scientific text

Title

Bi-ideals in k-regular and intra k-regular semirings

Authors 1, 2

Affiliations

  1. Department of Mathematics Visva-Bharati, Santiniketan-731235, India
  2. Department of Mathematics, Katwa College Katwa-713130, India

Abstract

Here we introduce the k-bi-ideals in semirings and the intra k-regular semirings. An intra k-regular semiring S is a semiring whose additive reduct is a semilattice and for each a ∈ S there exists x ∈ S such that a + xa²x = xa²x. Also it is a semiring in which every k-ideal is semiprime. Our aim in this article is to characterize both the k-regular semirings and intra k-regular semirings using of k-bi-ideals.

Keywords

ENG
k-bi-ideals, k-ideals, semiprimary subsets, k-regular semirings, intra k-regular semirings

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Discussiones Mathematicae - General Algebra and Applications
2011/31/1
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Pages:
5-23
Main language of publication
English
Received
2009-04-06
Accepted
2010-01-18
Published
2011

DOI: 10.7151/dmgaa.1172

Exact and natural sciences