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Gorenstein quivers

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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.

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Authors and Affiliations

  1. Department of Mathematics, University of Kentucky, Lexington, Kentucky, 40506-0027, USA

    E. Enochs

  2. Departamento de Matemática Aplicada, Universidad de Murcia, Campus del Espinardo, Espinardo (Murcia), 30100, Spain

    S. Estrada

  3. Departamento de Álgebra y A. Matemático, Universidad de Almerá, Almerá, 04071, Spain

    J. R. García Rozas

  4. Department of Mathematics and Statistics, University of North Carolina at Wilmington, Wilmington, North Carolina, 28403, USA

    A. Iacob

Authors
  1. E. Enochs
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  2. S. Estrada
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  3. J. R. García Rozas
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  4. A. Iacob
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Corresponding author

Correspondence to E. Enochs.

Additional information

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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Enochs, E., Estrada, S., García Rozas, J.R. et al. Gorenstein quivers. Arch. Math. 88, 199–206 (2007). https://doi.org/10.1007/s00013-006-1921-5

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  • DOI: https://doi.org/10.1007/s00013-006-1921-5

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