Title: Depth and minimal number of generators of square free monomial ideals
Abstract: Let I be an ideal of a polynomial algebra over a eld generated by square free monomials of degree d. If I contains more monomials of degree d than (n d)=(n d + 1) multiplied with the number of square free monomials of S of degree d then depthS I d, in particular the Stanley’s Conjecture holds in this case. Let S = K[x1;:::;xn] be the polynomial algebra in n-variables over a eld
Publication Year: 2011
Publication Date: 2011-07-13
Language: en
Type: preprint
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Cited By Count: 5
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