Gorenstein Quivers

E. Enochs; S. Estrada; J. R. García Rozas; A. Iacob

doi:10.1007/s00013-006-1921-5

Gorenstein Quivers

E. Enochs
, S. Estrada
, J. R. García Rozas
, A. Iacob

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

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.

Original language	American English
Journal	Archiv der Mathematik
Volume	83
DOIs	https://doi.org/10.1007/s00013-006-1921-5
State	Published - Mar 2007

Disciplines

Physical Sciences and Mathematics

Keywords

Gorenstein category
lwanaga-Gorenstein path ring

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10.1007/s00013-006-1921-5License: Unspecified

Cite this

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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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author = "E. Enochs and S. Estrada and \{Garc{\'i}a Rozas\}, \{J. R.\} and A. Iacob",

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AU - Enochs, E.

AU - Estrada, S.

AU - García Rozas, J. R.

AU - Iacob, A.

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N2 - 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.

AB - 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.

KW - Gorenstein category

KW - lwanaga-Gorenstein path ring

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

U2 - 10.1007/s00013-006-1921-5

DO - 10.1007/s00013-006-1921-5

M3 - Article

SN - 0003-889X

VL - 83

JO - Archiv der Mathematik

JF - Archiv der Mathematik

ER -

Gorenstein Quivers

Abstract

Disciplines

Keywords

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