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Mathematics
Commutative Algebra
Sequentially Cohen-Macaulay monomial ideals of embedding dimension four
Sarfraz Ahmad
,
Dorin Popescu
Abstract
Let I be a monomial ideal of the polynomial ring S=K[ x 1 ,..., x 4 ] over a field K . Then S/I is sequentially Cohen-Macaulay if and only if S/I is pretty clean. In particular, if S/I is sequentially Cohen-Macaulay then I is a Stanley ideal.
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Submitted on 20 Feb 2007 (v1), last revised 22 Feb 2007 (this version, v2)
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arXiv.org
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