The regular algebra of a quiver

Pere Ara, Miquel Brustenga

Research output: Contribution to journalArticleResearchpeer-review

18 Citations (Scopus)

Abstract

Let K be a fixed field. We attach to each column-finite quiver E a von Neumann regular K-algebra Q (E) in a functorial way. The algebra Q (E) is a universal localization of the usual path algebra P (E) associated with E. The monoid of isomorphism classes of finitely generated projective right Q (E)-modules is explicitly computed. © 2006 Elsevier Inc. All rights reserved.
Original languageEnglish
Pages (from-to)207-235
JournalJournal of Algebra
Volume309
DOIs
Publication statusPublished - 1 Mar 2007

Keywords

  • Leavitt path algebra
  • Path algebra
  • Universal localization
  • Von Neumann regular ring

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