On prime subsemimodules of semimodules


yesilot g., ORAL K. H. , TEKİR Ü.

International Journal of Algebra, cilt.1, sa.4, ss.53-60, 2010 (Diğer Kurumların Hakemli Dergileri) identifier identifier

  • Cilt numarası: 1 Konu: 4
  • Basım Tarihi: 2010
  • Dergi Adı: International Journal of Algebra
  • Sayfa Sayıları: ss.53-60

Özet

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.