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Simplicial affine semigroups with monomial minimal reduction ideals (2107.09970v1)
Published 21 Jul 2021 in math.AC
Abstract: We characterize when the monomial maximal ideal of a simplicial affine semigroup ring has a monomial minimal reduction. When this is the case, we study the Cohen-Macaulay and Gorenstein properties of the associated graded ring and provide several bounds for the reduction number with respect to the monomial minimal reduction.
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