2005International Journal of Mathematics and Mathematical SciencesOpen access

On quasi‐ideals and bi‐ideals in ternary semirings

S. Kar

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Abstract

We introduce the notions of quasi‐ideal and bi‐ideal in ternary semirings and study some properties of these two ideals. We also characterize regular ternary semiring in terms of these two subsystems of ternary semirings.

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We introduce the notions of quasi‐ideal and bi‐ideal in ternary semirings and study some properties of these two ideals. We also characterize regular ternary semiring in terms of these two subsystems of ternary semirings.

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Available abstract

We introduce the notions of quasi‐ideal and bi‐ideal in ternary semirings and study some properties of these two ideals. We also characterize regular ternary semiring in terms of these two subsystems of ternary semirings.

Key concepts: Semiring, Mathematics, Ternary operation, Ideal (ethics), Pure mathematics, Kleene algebra, Discrete mathematics, Algebra over a field

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