This article is cited in 2 papers

Integrality of the Symmetric Algebra of Graph Ideals

M. Imbesi

University of Messina

Abstract: 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, complexes.

UDC: 512.552.3

Received: 16.07.2010

DOI: 10.4213/mzm10290

 English version: Mathematical Notes, 2013, 94:2, 191–204

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