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math.AC2015
An overview of the computational aspects of nonunique factorization invariants
P. A. García-Sánchez
We give an overview of the existing algorithms to compute nonunique factorization invariants in finitely generated monoids.
math.AC2015★ 8 cited
Delta sets for numerical semigroups with embedding dimension three
Pedro A. García-Sánchez, David Llena, Alessio Moscariello
We present a fast algorithm to compute the Delta set of a nonsymmetric numerical semigroups with embedding dimension three.
math.AC2010
Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids
Víctor Blanco, Pedro A. García-Sánchez, Alfred Geroldinger
Arithmetical invariants---such as sets of lengths, catenary and tame degrees---describe the non-uniqueness of factorizations in atomic monoids. We study these arithmetical invarian…