The regular algebra of a quiver

Pere Ara; Miquel Brustenga

doi:10.1016/j.jalgebra.2006.10.013

The regular algebra of a quiver

Pere Ara, Miquel Brustenga

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

22 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 language	English
Pages (from-to)	207-235
Journal	Journal of Algebra
Volume	309
DOIs	https://doi.org/10.1016/j.jalgebra.2006.10.013
Publication status	Published - 1 Mar 2007

Keywords

Leavitt path algebra
Path algebra
Universal localization
Von Neumann regular ring

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10.1016/j.jalgebra.2006.10.013

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AB - 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.

KW - Leavitt path algebra

KW - Path algebra

KW - Universal localization

KW - Von Neumann regular ring

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JO - Journal of Algebra

JF - Journal of Algebra

ER -

The regular algebra of a quiver

Abstract

Keywords

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