Dergiler / Turkish Journal of Mathematics / 2015 / Cilt: 39 - Sayı: 1

Arithmetical rank of the edge ideals of some n-cyclic graphs with a common edge

Sayfa
112–123
DOI
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Özet

In this paper, we present some lower bounds and upper bounds on the arithmetical rank of the edge ideals of some n-cyclic graphs with a common edge. For some special n-cyclic graphs with a common edge, we prove that the arithmetical rank equals the projective dimension of the corresponding quotient ring.

Abstract

In this paper, we present some lower bounds and upper bounds on the arithmetical rank of the edge ideals of some n-cyclic graphs with a common edge. For some special n-cyclic graphs with a common edge, we prove that the arithmetical rank equals the projective dimension of the corresponding quotient ring.

Anahtar kelimeler: Arithmetical rank, edge ideal, projective dimension, set-theoretic complete intersection