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• W1633079080 abstract "Let K be a field and I a monomial ideal of the polynomial ring S = K(x1,...,xn) generated by monomials u1,u2,...,ut. We show that S/I is pretty clean if either: 1) u1,u2,...,ut is a filter-regular sequence, 2) u1,u2,...,ut is a d-sequence; or 3) I is almost complete intersection. In particular, in each of these cases, S/I is sequentially Cohen-Macaulay and both Stanley's and h-regularity conjectures, on Stanley decompositions, hold for S/I. Also, we prove that if I is the Stanley-Reisner ideal of a locally complete intersection simplicial complex on (n), then Stanley's conjecture holds for S/I." @default.
• W1633079080 created "2016-06-24" @default.
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• W1633079080 creator A5068835267 @default.
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• W1633079080 date "2011-12-21" @default.
• W1633079080 modified "2023-09-27" @default.
• W1633079080 title "FILTER-REGULAR SEQUENCES, ALMOST COMPLETE INTERSECTIONS AND STANLEY'S CONJECTURE" @default.
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• W1633079080 hasPublicationYear "2011" @default.
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