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On p-Frobenius of Affine Semigroups

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URI: http://hdl.handle.net/10498/33663

DOI: 10.1007/S00009-024-02625-0

ISSN: 1660-5446

ISSN: 1660-5454

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Author/s
García Barroso, Evelia R.; García García, Juan IgnacioAuthority UCA; Santana Sánchez, Luis José; Vigneron Tenorio, AlbertoAuthority UCA
Date
2024
Department
Matemáticas
Source
Mediterranean Journal of Mathematics - 2024, Vol. 21 n. 3 pp. 1-15
Abstract
This paper studies the p-Frobenius vector of affine semigroups . Defined with respect to a graded monomial order, the p-Frobenius vector represents the maximum element with at most p factorizations within S. We develop efficient algorithms for computing these vectors and analyze their behavior under the gluing operations with .
Subjects
Affine semigroup; factorizations; Frobenius problem; gluing semigroup; semigroup ideal
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 Internacional

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