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oai:recercat.cat:2117/1927322026-01-30T08:40:26Zcom_2072_1033col_2072_452950

The right-generators descendant of a numerical semigroup Bras Amorós, Maria Fernández González, Julio Universitat Politècnica de Catalunya. Departament de Matemàtiques Universitat Politècnica de Catalunya. TN - Grup de Recerca en Teoria de Nombres Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra Frobenius algebras Algorithms Frobenius, Àlgebres de Algorismes For a numerical semigroup, we encode the set of primitive elements that are larger than its Frobenius number and show how to produce in a fast way the corresponding sets for its children in the semigroup tree. This allows us to present an efficient algorithm for exploring the tree up to a given genus. The algorithm exploits the second nonzero element of a numerical semigroup and the particular pseudo-ordinary case in which this element is the conductor Peer Reviewed Postprint (author's final draft) 2020-01-01 Article Bras, M.; Fernández, J. The right-generators descendant of a numerical semigroup. "Mathematics of computation", 1 Gener 2020, vol. 89, núm. 324, p. 2017-2030. 0025-5718 https://arxiv.org/abs/1911.03173 https://hdl.handle.net/2117/192732 10.1090/MCOM/3502 eng https://www.ams.org/journals/mcom/2020-89-324/S0025-5718-2020-03502-9/ http://creativecommons.org/licenses/by-nc-nd/3.0/es/ Open Access Attribution-NonCommercial-NoDerivs 3.0 Spain 14 p. application/pdf