Bi-interior ideals of Γ-semirings

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2018 English Publisher:University of Zielona Góra, PolandJournal:Discussiones Mathematicae - General Algebra and Applications, volume 38, page 239 (issn: 1509-9415, eissn: 2084-0373,

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Authors: Rao Marapureddy Murali Krishna; Venkateswarlu B.;

doi: 10.7151/dmgaa.1296

Bi-interior ideals of Γ-semirings

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Abstract

In this paper, as a further generalization of ideals, we introduce the notion of bi-interior ideal as a generalization of quasi ideal, bi-ideal and interior ideal of Γ-semiring and study the properties of bi-interior ideals of Γ-semiring. We prove that if M is a field Γ-semiring, then M is a bi-interior simple Γ-semiring.

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GITAM University
India

Keywords

regular γ-semiring, bi-quasi ideal, 06y99, bi-ideal, quasi ideal, QA1-939, bi-interior ideal, bi-interior simple γ-semiring, interior ideal, 16y60, Mathematics

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