On Prime and Maximal k-Subsemimodules of Semimodules

Year 2010, Volume: 39 Issue: 3, 305 - 312, 01.03.2010

Gürsel Yeşilot

Abstract

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

Keywords

Prime k-ideal, Maximal k-ideal, Prime k-subsemimodule, Maximal ksubsemimodule, 2000 AMS Classification: 16 Y 60

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