Geodesic
Integrality of the Symmetric Algebra of Graph Ideals
Matematičeskie zametki, Tome 94 (2013) no. 2, pp. 190-206

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

We consider edge ideals associated to some classes of simple graphs and study the projective dimension and the integrality of the symmetric algebra for them. We also analyze criteria for torsion freeness of the symmetric powers and determine conditions of acyclicity of the $\mathcal{Z}$-complex of these graph ideals.
Keywords: edge ideals, projective dimension, symmetric algebra
Mots-clés : complexes. 
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     author = {M. Imbesi},
     title = {Integrality of the {Symmetric} {Algebra} of {Graph} {Ideals}},
     journal = {Matemati\v{c}eskie zametki},
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     publisher = {mathdoc},
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     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2013_94_2_a3/}
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M. Imbesi. Integrality of the Symmetric Algebra of Graph Ideals. Matematičeskie zametki, Tome 94 (2013) no. 2, pp. 190-206. http://geodesic.mathdoc.fr/item/MZM_2013_94_2_a3/