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Arithmetical Rank of a Squarefree Monomial Ideal whose Alexander Dual is of Deviation Two
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 arithdeg I−indeg I=2 and I has a linear resolution.