Simplicial Affine Semigroups with Monomial Minimal Reduction Ideals
نویسندگان
چکیده
We characterize when the monomial maximal ideal of a simplicial affine semigroup ring has minimal reduction. When this is case, we study Cohen–Macaulay and Gorenstein properties associated graded provide several bounds for reduction number with respect to
منابع مشابه
Monomial ideals of minimal depth
Let S be a polynomial algebra over a field. We study classes of monomial ideals (as for example lexsegment ideals) of S having minimal depth. In particular, Stanley’s conjecture holds for these ideals. Also we show that if I is a monomial ideal with Ass(S/I) = {P1, P2, . . . , Ps} and Pi 6⊂ ∑s 1=j 6=i Pj for all i ∈ [s], then Stanley’s conjecture holds for S/
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ژورنال
عنوان ژورنال: Mediterranean Journal of Mathematics
سال: 2022
ISSN: ['1660-5454', '1660-5446']
DOI: https://doi.org/10.1007/s00009-022-02003-8