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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)
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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
Russian version:
Matematicheskii Sbornik, 2016, Volume 207, Number 7, Pages 81–100
DOI: https://doi.org/10.4213/sm8563
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”, Mat. Sb., 207:7 (2016), 81–100; 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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    Abstract page:464
    Russian version PDF:128
    English version PDF:12
    References:50
    First page:42
     
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