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) $\mu (I) \leq 5$; (2) $\arithdeg I \leq 4$.
 Publication:

arXiv eprints
 Pub Date:
 July 2011
 DOI:
 10.48550/arXiv.1107.0563
 arXiv:
 arXiv:1107.0563
 Bibcode:
 2011arXiv1107.0563K
 Keywords:

 Mathematics  Commutative Algebra;
 13F55
 EPrint:
 22 pages, to appear in Communications in Algebra