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2010•DergiPark (Istanbul University)Requires access

On Prime and Maximal k-Subsemimodules of Semimodules

Gürsel Yeşіlot

Open publisher page 6 citations

Abstract

In this paper, we present some characterizations of prime k-ideals andmaximal k-ideals of a semiring. Then we extend these properties toprime k-subsemimodules and maximal k-subsemimodules of a semimodule. After that, the correspondence between prime k-ideals andprime k-subsemimodules, and between maximal k-ideals and maximalk-subsemimodules are given.

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What this paper is about

In this paper, we present some characterizations of prime k-ideals andmaximal k-ideals of a semiring. Then we extend these properties toprime k-subsemimodules and maximal k-subsemimodules of a semimodule. After that, the correspondence between prime k-ideals andprime k-subsemimodules, and between maximal k-ideals and maximalk-subsemimodules are given.

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OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, we present some characterizations of prime k-ideals andmaximal k-ideals of a semiring. Then we extend these properties toprime k-subsemimodules and maximal k-subsemimodules of a semimodule. After that, the correspondence between prime k-ideals andprime k-subsemimodules, and between maximal k-ideals and maximalk-subsemimodules are given.

Key concepts: Mathematics, Prime (order theory), Combinatorics, Prime ideal, Semiring, Discrete mathematics

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