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20012024
most citedCombinatorial properties and characterization of glued semigroups

2 citations · 4 across the 7 of their papers we have counts for

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8 papers

math.AC2024

Semi-covariety of numerical semigroups

M. A. Moreno-Frías, J. C. Rosales

The main aim of this work is to introduce and justify the study of semi-covarities. A {\it semi-covariety} is a non-empty family of numerical semigroups such that it…

math.AC2023

The ratio-covariety of numerical semigroups with fixed multiplicity and Frobenius number

M. A. Moreno-Frías, J. C. Rosales

In this work we will introduce the concept of ratio-covariety, as a nonempty family of numerical semigroups verifying certain properties. This concept will allow us t…

math.AC2023★ 1 cited

The covariety of numerical semigroups with fixed Frobenius number

M. A. Moreno-Frías, J. C. Rosales

Denote by the multiplicity of a numerical semigroup . A covariety is a nonempty family of numerical semigroups that fulfills the following condition…

math.AC2017★ 1 cited

Frobenius number and minimum genus of numerical semigroups with fixed multiplicity and embedding dimension

J. I. García-García, D. Marín-Aragón, M. A. Moreno-Frías +2

Fixed two positive integers m and e, some algorithms for computing the minimal Frobenius number and minimal genus of the set of numerical semigroups with multiplicity m and embeddi…

math.AC2017

Semigroups with fixed multiplicity and embedding dimension

J. I. García-García, D. Marín-Aragón, M. A. Moreno-Frías +2

Given a numerical semigroup with multiplicity is called packed numerical semigroup if its minimal generating set is included in In…

math.AC2015

Proportionally modular affine semigroups

J. I. García-García, M. A. Moreno-Frías, A. Vigneron-Tenorio

This work introduces a new kind of semigroup of called proportionally modular affine semigroup. These semigroups are defined by modular Diophantine inequalities and they are…

math.AC2011★ 2 cited

Combinatorial properties and characterization of glued semigroups

J. I. García-García, M. A. Moreno-Frías, A. Vigneron-Tenorio

This work focuses on the combinatorial properties of glued semigroups and provides its combinatorial characterization. Some classical results for affine glued semigroups are genera…

math.AG2001

Gröbner -bases and Gröbner bases for differential operators

F. J. Castro-Jiménez, M. A. Moreno-Frías

This paper deals with the notion of Gröbner -base for some rings of linear differential operators by adapting the works of W. Trinks, A. Assi, M. Insa and F. Pauer. We compare t…