Let NN denote the monoid of natural numbers. A numerical semigroup is a cofinite
submonoid S ⊆ NS⊆ N. For the purposes of this paper, a generalized numerical semigroup …

On the generators of a generalized numerical semigroup Page 1 DOI: 10.2478/auom-2019-0003
An. St. Univ. Ovidius Constanta Vol. 27(1),2019, 49–59 On the generators of a generalized …

Let $ S $ and $\mathcal {C} $ be affine semigroups in $\mathbb {N}^ d $ such that $
S\subseteq\mathcal {C} $. We provide a characterization for the set $\mathcal {C}\setminus S …

Plusieurs lois de comportement mécaniques possèdent une formulation tensorielle, comme
c'est par exemple le cas pour l'étude des matériaux élastiques. Dans ce cas in-tervient un …

Let R be a ring and let (a 1,…, an)∈ R n be a unimodular vector, where n≥ 2 and each ai is
in the center of R. Consider the linear equation a 1 X 1+⋯+ an X n= 0, with solution set S …

This paper is concerned with the combinatorial description of the graded minimal free
resolution of certain monomial algebras which includes toric rings. We explicitly describe …

Given a set A={a 1,…, an}⊂ N m of nonzero vectors defining a simplicial toric ideal IA⊂ k [x
1,…, xn], where k is an arbitrary field, we provide an algorithm for checking whether IA is a …

We give a minimal system of 476 generators (resp. 510 generators) for the algebra of SL2
(C)-covariant polynomials on binary forms of degree 9 (resp. degree 10). These results were …

We give a method for computing the degrees of the minimal syzygies of a toric variety by
means of combinatorial techniques. Indeed, we complete the explicit description of the …

In this paper we present a new class of semigroups called convex body semigroups which
are generated by convex bodies of ℝ k. They generalize to arbitrary dimension the concept …