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Matematicheskie Zametki, 2013, Volume 94, Issue 2, Pages 190–206
DOI: https://doi.org/10.4213/mzm10290 (Mi mzm10290) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Integrality of the Symmetric Algebra of Graph Ideals

M. Imbesi

University of Messina
Full-text PDF (552 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm10290
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.
Received: 16.07.2010
English version:
Mathematical Notes, 2013, Volume 94, Issue 2, Pages 191–204
DOI: https://doi.org/10.1134/S0001434613070195
Bibliographic databases:
Document Type: Article
UDC: 512.552.3
Language: Russian
Citation: M. Imbesi, “Integrality of the Symmetric Algebra of Graph Ideals”, Mat. Zametki, 94:2 (2013), 190–206; Math. Notes, 94:2 (2013), 191–204
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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