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Selected Works of Alina Iacob
Article
Gorenstein Quivers
Archiv der Mathematik (2007)
  • Edgar E. Enochs, University of Kentucky
  • Sergio Estrada, Universidad de Murcia
  • Juan Ramon Garcia Rozas, Universidad de Almeria
  • Alina Iacob, Georgia Southern University
Link
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.
Keywords
  • lwanaga-Gorenstein path ring,
  • Gorenstein category
Disciplines
Publication Date
March, 2007
DOI
10.1007/s00013-006-1921-5
Citation Information
Edgar E. Enochs, Sergio Estrada, Juan Ramon Garcia Rozas and Alina Iacob. "Gorenstein Quivers" Archiv der Mathematik Vol. 83 Iss. 3 (2007) p. 199 - 206 ISSN: 1420-8938
Available at: http://works.bepress.com/alina_iacob/49/