logo_acta

Acta Mathematica Vietnamica

Arithmetical Rank of a Squarefree Monomial Ideal whose Alexander Dual is of Deviation Two

icon-email Kyouko Kimura , Naoki Terai , Ken-ichi Yoshida

Abstract

In this paper, we prove that the arithmetical rank of a squarefree monomial ideal I of a polynomial ring S is equal to the projective dimension of S/I when arithdegIindegI=2 and I has a linear resolution.