- Hacettepe Journal of Mathematics and Statistics
- Vol: 39 Issue: 3
- On Prime and Maximal k-Subsemimodules of Semimodules
On Prime and Maximal k-Subsemimodules of Semimodules
Authors : Gürsel Yeşilot
Pages : 305-312
View : 9 | Download : 4
Publication Date : 2010-03-01
Article Type : Research
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