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The regular algebra of a quiver | | Pere Ara
; Miquel Brustenga
; | | Date: |
5 May 2006 | | Subject: | Rings and Algebras | | 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. | | Source: | arXiv, math/0605151 | | Services: | Forum | Review | PDF | Favorites | |
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