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Sbornik: Mathematics, 2016, Volume 207, Issue 7, Pages 964–982
DOI: https://doi.org/10.1070/SM8563 (Mi sm8563) 		 
This article is cited in 1 scientific paper (total in 2 paper)

Modules of Gorenstein dimension zero over graph algebras

E. S. Golod, G. A. Pogudin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (527 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/SM8563
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.
Bibliography: 19 titles.
Keywords: Gorenstein dimension, $\operatorname{CI}$-dimension.
Received: 27.06.2015
Bibliographic databases:
Document Type: Article
UDC: 512.715+512.66
MSC: Primary 13C14; Secondary 13D05, 13H10
Language: English
Original paper language: Russian
Citation: E. S. Golod, G. A. Pogudin, “Modules of Gorenstein dimension zero over graph algebras”, Sb. Math., 207:7 (2016), 964–982
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    English version PDF:17
    References:53
    First page:42
     
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