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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… Click to show full 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.
Keywords:
semigroups monomial;
minimal reduction;
simplicial affine;
affine semigroups;
reduction;
monomial minimal
Journal Title: Mediterranean Journal of Mathematics
Year Published: 2022
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Journal Title: Mediterranean Journal of Mathematics
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!