This article is cited in 1 paper

Modules of Gorenstein dimension zero over graph algebras

E. S. Golod, G. A. Pogudin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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.

UDC: 512.715+512.66

MSC: Primary 13C14; Secondary 13D05, 13H10

Received: 27.06.2015

DOI: 10.4213/sm8563

 English version: Sbornik: Mathematics, 2016, 207:7, 964–982

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