On Objects with a Semilocal Endomorphism Rings in Finitely Accessible Additive Categories

BERKTAŞ M. K.

Algebras and Representation Theory, vol.18, no.5, pp.1389-1393, 2015 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 18 Issue: 5
  • Publication Date: 2015
  • Doi Number: 10.1007/s10468-015-9545-8
  • Journal Name: Algebras and Representation Theory
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1389-1393
  • Keywords: Accessible categories, Camps-Dicks theorem, Grothendieck categories, Pure Goldie dimension
  • Uşak University Affiliated: Yes

Abstract

It is proved that if A is an object in a finitely accessible additive category A such that A has finite pure Goldie dimension and that every pure monomorphism A→A is an isomorphism, then its endomorphism ring EndA(A) is semilocal.