ON PRIME AND MAXIMAL k-SUBSEMIMODULES OF SEMIMODULES


YEŞİLOT G.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.39, ss.305-312, 2010 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 39 Konu: 3
  • Basım Tarihi: 2010
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Sayfa Sayıları: ss.305-312

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.