Geodesic
Modules of Gorenstein dimension zero over graph algebras
Sbornik. Mathematics, Tome 207 (2016) no. 7, pp. 964-982

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{SM_2016_207_7_a3,
     author = {E. S. Golod and G. A. Pogudin},
     title = {Modules of {Gorenstein} dimension zero over graph algebras},
     journal = {Sbornik. Mathematics},
     pages = {964--982},
     publisher = {mathdoc},
     volume = {207},
     number = {7},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2016_207_7_a3/}
}
TY  - JOUR
AU  - E. S. Golod
AU  - G. A. Pogudin
TI  - Modules of Gorenstein dimension zero over graph algebras
JO  - Sbornik. Mathematics
PY  - 2016
SP  - 964
EP  - 982
VL  - 207
IS  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_2016_207_7_a3/
LA  - en
ID  - SM_2016_207_7_a3
ER  - 
%0 Journal Article
%A E. S. Golod
%A G. A. Pogudin
%T Modules of Gorenstein dimension zero over graph algebras
%J Sbornik. Mathematics
%D 2016
%P 964-982
%V 207
%N 7
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_2016_207_7_a3/
%G en
%F SM_2016_207_7_a3
E. S. Golod; G. A. Pogudin. Modules of Gorenstein dimension zero over graph algebras. Sbornik. Mathematics, Tome 207 (2016) no. 7, pp. 964-982. http://geodesic.mathdoc.fr/item/SM_2016_207_7_a3/