Gorenstein quivers

Autores: Edgar E. Enochs , S. Estrada, Juan Ramón García Rozas , Alina Iacob
Localización: Archiv der Mathematik, ISSN 0003-889X, Vol. 88, Nº. 3, 2007, págs. 199-206
Idioma: alemán
DOI: 10.1007/s00013-006-1921-5
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Resumen
- 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.