Arithmetical rank of squarefree monomial ideals generated by five elements or with arithmetic degree four
Abstract
Let I be a squarefree monomial ideal of a polynomial ring S. In this paper, we prove that the arithmetical rank of I is equal to the projective dimension of S/I when one of the following conditions is satisfied: (1) μ (I) ≤ 5; (2) I ≤ 4.
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