Modules of Gorenstein dimension zero over graph algebras

E. S. Golod; G. A. Pogudin

doi:10.1070/SM8563

Modules of Gorenstein dimension zero over graph algebras

E. S. Golod
, G. A. Pogudin

Faculty of Mechanics and Mathematics
Moscow State University

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

1 Citation (Scopus)

Abstract

We show that nonfree modules of Gorenstein dimension zero over a graph algebra exist if and only if the graph is a tree. A classification of such modules is given.

Original language	English
Pages (from-to)	964-982
Number of pages	19
Journal	Sbornik Mathematics
Volume	207
Issue number	7
DOIs	https://doi.org/10.1070/SM8563
Publication status	Published - 1 Jan 2016
Externally published	Yes

Keywords

CI-dimension
Gorenstein dimension

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title = "Modules of Gorenstein dimension zero over graph algebras",

abstract = "We show that nonfree modules of Gorenstein dimension zero over a graph algebra exist if and only if the graph is a tree. A classification of such modules is given.",

keywords = "CI-dimension, Gorenstein dimension",

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note = "Publisher Copyright: {\textcopyright} 2016 Russian Academy of Sciences (DoM), London Mathematical Society, Turpion Ltd.",

year = "2016",

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AB - We show that nonfree modules of Gorenstein dimension zero over a graph algebra exist if and only if the graph is a tree. A classification of such modules is given.

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KW - Gorenstein dimension

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DO - 10.1070/SM8563

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JO - Sbornik Mathematics

JF - Sbornik Mathematics

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Modules of Gorenstein dimension zero over graph algebras

Abstract

Keywords

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