The Zariski Topology on the Prime Spectrum of a Module over Noncommutative Rings

TEKİR Ü.

ALGEBRA COLLOQUIUM, vol.16, no.4, pp.691-698, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 16 Issue: 4
  • Publication Date: 2009
  • Doi Number: 10.1142/s1005386709000650
  • Journal Name: ALGEBRA COLLOQUIUM
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.691-698
  • Keywords: prime submodules, Zariski topology
  • Marmara University Affiliated: Yes

Abstract

Let R be an associative ring with identity and M an R-module. Let Spec(M) be the set of all prime submodules of M. We topologize Spec(M) with the Zariski topology and prove some useful results.