Simplicial affine semigroups with monomial minimal reduction ideals
Commutative Algebra
2021-07-22 v1
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.
Cite
@article{arxiv.2107.09970,
title = {Simplicial affine semigroups with monomial minimal reduction ideals},
author = {Marco D'Anna and Raheleh Jafari and Francesco Strazzanti},
journal= {arXiv preprint arXiv:2107.09970},
year = {2021}
}