Local morphisms and modules with a semilocal endomorphism ring

Alberto Facchini, Dolors Herbera

Research output: Contribution to journalArticleResearchpeer-review

24 Citations (Scopus)

Abstract

We study local morphisms in the setting of general noncommutative rings. In particular, we apply local morphisms to study endomorphism rings of modules. We use our constructions to determine classes of modules with semilocal endomorphism rings. For instance, we prove that every finitely presented right module over a semilocal ring has a semilocal endomorphism ring. © Springer Science + Business Media B.V. 2006.
Original languageEnglish
Pages (from-to)403-422
JournalAlgebras and Representation Theory
Volume9
DOIs
Publication statusPublished - 1 Aug 2006

Keywords

  • Endomorphism ring
  • Local morphism
  • Semilocal ring
  • Spectral category

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