On the sheaf of modules

TEKİR Ü.

COMMUNICATIONS IN ALGEBRA, vol.33, no.8, pp.2557-2562, 2005 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 33 Issue: 8
  • Publication Date: 2005
  • Doi Number: 10.1081/agb-200065136
  • Journal Name: COMMUNICATIONS IN ALGEBRA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2557-2562
  • Marmara University Affiliated: Yes

Abstract

Let M be an R-module and let X = Spec(M) be all prime submodules of M. We obtain an R-module Ox(U) for each open set U in X. We show that Ox is a sheaf of R-modules over X.