13 citations · 21 across the 15 of their papers we have counts for
17 papers · 1 filter
On the depth of simplicial affine semigroup rings
Raheleh Jafari, Ignacio Ojeda
We recall and delve into the different characterizations of the depth of an affine semigroup ring, providing an original characterization of depth two in three and four dimensional…
Shedding vertices and Ass-decomposable monomial ideals
Raheleh Jafari, Ali Akbar Yazdan Pour
The shedding vertices of simplicial complexes are studied from an algebraic point of view. Based on this perspective, we introduce the class of ass-decomposable monomial ideals whi…
Simplicial affine semigroups with monomial minimal reduction ideals
Marco D'Anna, Raheleh Jafari, Francesco Strazzanti
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 Goren…
Coefficient Rings of Numerical Semigroup Algebras
I-Chiau Huang, Raheleh Jafari
Numerical semigroup rings are investigated from the relative viewpoint. It is known that algebraic properties such as singularities of a numerical semigroup ring are properties of…
Type and Conductor of Simplicial Affine Semigroups
Raheleh Jafari, Marjan Yaghmaei
We provide a generalization of pseudo-Frobenius numbers of numerical semigroups to the context of the simplicial affine semigroups. In this way, we characterize the Cohen-Macaulay…
Ulrich elements in normal simplicial affine semigroups
Jürgen Herzog, Raheleh Jafari, Dumitru I. Stamate
Let be a normal affine semigroup, its semigroup ring over the field and its canonical module. The Ulrich elements for are those …