ON PRIME AND MAXIMAL k-SUBSEMIMODULES OF SEMIMODULES

YEŞİLOT G.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.39, sa.3, ss.305-312, 2010 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 3
  • Basım Tarihi: 2010
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.305-312
  • Anahtar Kelimeler: Prime k-ideal, Maximal k-ideal, Prime k-subsemimodule, Maximal k-subsemimodule, SEMIRINGS
  • Yıldız Teknik 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.