Two-Extension of a Numerical Semigroup with Embedding Dimension Two

Let S and S' be two numerical semigroups such that S\subseteq S' and let d be a positive integer. We say that S' is a d-extension of S if dS'={dx : x\in S'}\subset S. In this paper we study the set of numerical semigroups S such that S is a 2-extension of <n_1,n_2>.

Detalhes bibliográficos
Autor principal: Branco, M.B. (author)
Outros Autores: Rosales, J.C. (author)
Formato: article
Idioma:por
Publicado em: 2014
Assuntos:
Texto completo:http://hdl.handle.net/10174/10466
País:Portugal
Oai:oai:dspace.uevora.pt:10174/10466
Descrição
Resumo:Let S and S' be two numerical semigroups such that S\subseteq S' and let d be a positive integer. We say that S' is a d-extension of S if dS'={dx : x\in S'}\subset S. In this paper we study the set of numerical semigroups S such that S is a 2-extension of <n_1,n_2>.