2012Unpublished venueRequires access

On Minimal Bi-ideal in Ternary Semirings

Manish Dubey

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Abstract

In this paper we study the notion of minimal bi-ideals in ternary semirings and find the relation in terms of regular ternary semirings. We also study the concept of a B-simple ternary semiring and characterize 0-minimal bi-ideals in terms of B-simple ternary semiring.

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What this paper is about

In this paper we study the notion of minimal bi-ideals in ternary semirings and find the relation in terms of regular ternary semirings. We also study the concept of a B-simple ternary semiring and characterize 0-minimal bi-ideals in terms of B-simple ternary semiring.

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Available abstract

In this paper we study the notion of minimal bi-ideals in ternary semirings and find the relation in terms of regular ternary semirings. We also study the concept of a B-simple ternary semiring and characterize 0-minimal bi-ideals in terms of B-simple ternary semiring.

Key concepts: Semiring, Ternary operation, Mathematics, Simple (philosophy), Ideal (ethics), Kleene algebra, Combinatorics, Discrete mathematics

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