Zariski topology for semimodules

Atani S. E., Atani R. E., TEKİR Ü.

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, vol.4, no.3, pp.251-265, 2011 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 4 Issue: 3
  • Publication Date: 2011
  • Journal Name: EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
  • Page Numbers: pp.251-265
  • Marmara University Affiliated: Yes

Abstract

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.