On prime subsemimodules of semimodules

yesilot g., ORAL K. H., TEKİR Ü.

International Journal of Algebra, vol.1, no.4, pp.53-60, 2010 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 1 Issue: 4
  • Publication Date: 2010
  • Journal Name: International Journal of Algebra
  • Page Numbers: pp.53-60
  • Keywords: Prime k-ideal, Maximal k-ideal, Prime k-subsemimodule, Maximal k-subsemimodule, SEMIRINGS
  • Marmara University Affiliated: Yes

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.