Zariski topology for semimodules

Atani S. E., Atani R. E., TEKİR Ü.

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, cilt.4, sa.3, ss.251-265, 2011 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 4 Sayı: 3
  • Basım Tarihi: 2011
  • Dergi Adı: EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.251-265
  • Marmara Üniversitesi Adresli: Evet

Özet

Given a very strong multiplication semimidule M over a commutative semiring R, a Zariski topology is defined on the spectrum Spec k (M) of prime k-subsemimodules of M. The properties and possible structures of this topology are studied.