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Your search keyword '"Vigneron-Tenorio, Alberto"' showing total 4 results
Start Over Author "Vigneron-Tenorio, Alberto" Publisher mdpi
4 results on '"Vigneron-Tenorio, Alberto"'

1. Asymptotic ω -Primality of Finitely Generated Cancelative Commutative Monoids.

Author

García-García, Juan Ignacio, Marín-Aragón, Daniel, and Vigneron-Tenorio, Alberto

Subjects
MONOIDS, PYTHON programming language, DISCRETE geometry
Abstract

The computation of ω -primality has been object of study, mainly, for numerical semigroups due to its multiple applications to the Factorization Theory. However, its asymptotic version is less well known. In this work, we study the asymptotic ω -primality for finitely generated cancelative commutative monoids. By using discrete geometry tools and the Python programming language we present an algorithm to compute this parameter. Moreover, we improve the proof of a known result for numerical semigroups. [ABSTRACT FROM AUTHOR]

Published
2023
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2. A Note on Decomposable and Reducible Integer Matrices

Author

Matemáticas, Marijuán, Carlos, Ojeda, Ignacio, Vigneron Tenorio, Alberto, Matemáticas, Marijuán, Carlos, Ojeda, Ignacio, and Vigneron Tenorio, Alberto

Abstract

We propose necessary and sufficient conditions for an integer matrix to be decomposable in terms of its Hermite normal form. Specifically, to each integer matrix, we associate a symmetric integer matrix whose reducibility can be efficiently determined by elementary linear algebra techniques, and which completely determines the decomposability of the first one.

Published
2021

3. Generalized Strongly Increasing Semigroups

Author

Matemáticas, García Barroso, E.R., García García, Juan Ignacio, Vigneron Tenorio, Alberto, Matemáticas, García Barroso, E.R., García García, Juan Ignacio, and Vigneron Tenorio, Alberto

Abstract

In this work, we present a new class of numerical semigroups called GSI-semigroups. We see the relations between them and other families of semigroups and we explicitly give their set of gaps. Moreover, an algorithm to obtain all the GSI-semigroups up to a given Frobenius number is provided and the realization of positive integers as Frobenius numbers of GSI-semigroups is studied.

Published
2021

4. A Note on Decomposable and Reducible Integer Matrices.

Author

Marijuán, Carlos, Ojeda, Ignacio, and Vigneron-Tenorio, Alberto

Subjects
SYMMETRIC matrices, MATRICES (Mathematics)
Abstract

We propose necessary and sufficient conditions for an integer matrix to be decomposable in terms of its Hermite normal form. Specifically, to each integer matrix, we associate a symmetric integer matrix whose reducibility can be efficiently determined by elementary linear algebra techniques, and which completely determines the decomposability of the first one. [ABSTRACT FROM AUTHOR]

Published
2021
Full Text
View/download PDF

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