Gorenstein quivers |
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| Authors: | E Enochs S Estrada J R García Rozas A Iacob |
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| Institution: | (1) Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506-0027, USA;(2) Departamento de Matemática Aplicada, Universidad de Murcia, Campus del Espinardo, Espinardo (Murcia), 30100, Spain;(3) Departamento de álgebra y A. Matemático, Universidad de Almerá, Almerá, 04071, Spain;(4) Department of Mathematics and Statistics, University of North Carolina at Wilmington, Wilmington, North Carolina 28403, USA |
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| Abstract: | In this paper we characterize when the path ring associated to a quiver is Gorenstein (in the sense of Iwanaga 9]). Then,
by using the notion of a Gorenstein category (cf. 2]), we extend the classes of quivers whose corresponding category of representations
has finite Gorenstein global dimension. This extension includes non-noetherian quivers.
E. E., S.E., and J.R.G.R., partially supported by the DGI MTM2005-03227.
Estrada’s work was supported by a MEC/Fulbright grant from the Spanish Secretaría de Estado de Universidades e Investigación
del Ministerio de Educación y Ciencia.
Received: 28 February 2006 |
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| Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) Primary 16E65 Primary 16G20 Secondary 18A40 |
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