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Paper   IPM / M / 16725
School of Mathematics
  Title:   Simplicial affine semigroups with monomial minimal reduction ideals
  Author(s):  Raheleh Jafari (Joint with M. D'Anna and F. Strazzanti)
  Status:   To Appear
  Journal: Mediterr. J. Math.
  Supported by:  IPM
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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