ARITHMETICAL RANK OF THE CYCLIC AND BICYCLIC GRAPHS-Reference-Cited by-同舟云学术

ARITHMETICAL RANK OF THE CYCLIC AND BICYCLIC GRAPHS

Published:2012-04 Issue:02 Volume:11 Page:1250039
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

BARILE MARGHERITA¹,KIANI DARIUSH²³,MOHAMMADI FATEMEH²³,YASSEMI SIAMAK⁴³

Affiliation:

1. Dipartimento di Matematica, Università di Bari "Aldo Moro", Via E. Orabona 4, 70125 Bari, Italy

2. Department of Mathematics, Amirkabir University of Technology, Tehran, Iran

3. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Iran

4. Department of Mathematics, University of Tehran, Tehran, Iran

Abstract

We show that for the edge ideals of the graphs consisting of one cycle or two cycles of any length connected through a vertex, the arithmetical rank equals the projective dimension of the corresponding quotient ring.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498811005634

Reference13 articles.

1. A Generalization of a Lemma by Schmitt and Vogel

2. On Ideals Generated by Monomials and One Binomial

3. Local Cohomology

4. Monomial and toric ideals associated to Ferrers graphs

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