[PDF][PDF] NumericalSgps
M Delgado, PA Garcıa-Sánchez… - A GAP package for …, 2015 - docs.gap-system.org
A numerical semigroup is a subset of the set N of nonnegative integers that is closed under
addition, contains 0 and whose complement in N is finite. The smallest positive integer …
addition, contains 0 and whose complement in N is finite. The smallest positive integer …
Patterns on the numerical duplication by their admissibility degree
A Borzì - Numerical Semigroups: IMNS 2018, 2020 - Springer
We develop the theory of patterns on numerical semigroups in terms of the admissibility
degree. We prove that the Arf pattern induces every strongly admissible pattern, and …
degree. We prove that the Arf pattern induces every strongly admissible pattern, and …
Modular Frobenius pseudo-varieties
AM Robles-Pérez, JC Rosales - Collectanea mathematica, 2023 - Springer
If m ∈ N ∖ {0, 1\} m∈ N {0, 1 and A is a finite subset of ⋃ _ k ∈ N ∖ {0, 1\}{1, ..., m-1\}^ k⋃
k∈ N {0, 1 1,…, m-1 k, then we denote by C (m, A)= & {S ∈ S _m ∣ s_1+ ⋯+ s_k-m ∈ S if …
k∈ N {0, 1 1,…, m-1 k, then we denote by C (m, A)= & {S ∈ S _m ∣ s_1+ ⋯+ s_k-m ∈ S if …
Generalizing strong admissibility of patterns of numerical semigroups
G Sun, Z Zhao - International Journal of Algebra and Computation, 2017 - World Scientific
A homogeneous pattern is a linear multivariate polynomial without constant term. Bras-
Amorós and García-Sánchez introduced the notion of pattern for numerical semigroups …
Amorós and García-Sánchez introduced the notion of pattern for numerical semigroups …