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

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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.

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

Keywords

Gorenstein category
lwanaga-Gorenstein path ring

DC Disciplines

Physical Sciences and Mathematics

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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

Keywords

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