On Prime and Maximal k-Subsemimodules of Semimodules

Authors : Gürsel YEŞİLOT

Pages : 305-312

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Publication Date : 2010-03-01

Article Type : Research Paper

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