On prime subsemimodules of semimodules

yesilot g., ORAL K. H., TEKİR Ü.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 1 Sayı: 4
  • Basım Tarihi: 2010
  • Dergi Adı: International Journal of Algebra
  • Sayfa Sayıları: ss.53-60
  • Anahtar Kelimeler: Prime k-ideal, Maximal k-ideal, Prime k-subsemimodule, Maximal k-subsemimodule, SEMIRINGS
  • Marmara Üniversitesi Adresli: Evet

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.