Please use this identifier to cite or link to this item: http://hdl.handle.net/10174/40592

Title: Arithmetic Varieties of Numerical semigroups.
Authors: M. B., Branco
Editors: Results Math (2024) 79:171
Keywords: Numerical Semigroups
Issue Date: 2024
Publisher: Results Math (2024) 79:171, published online May 22, 2024
Abstract: In this article we present the notion of arithmetic variety for numerical semigroups. We study various aspects related to these varieties such as the smallest arithmetic that contains a set of numerical semigroups and we exhibit the root three associated with an arithmetic variety. This tree is not locally finite; However, if the Frobenius number is fixed, the tree has many nodes and algorithms can be developed. All algorithms provided in this article include its (non-debugged) implementation in GAP.
URI: Doi: https://doi.org/10.1007/s00025-024-02212-5
http://hdl.handle.net/10174/40592
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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