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Title: Positioned Numerical Semigroups with Small Gender
Authors: J. Carlos, Rosales
Manuel, Branco
Manuel, Faria
Editors: Springer
Keywords: Numerical semigroups · Positioned numerical semigroups · M-semigroups · N -semigroups · Frobenius number · Multiplicity and gender
Issue Date: Mar-2022
Publisher: Bulletin of the Iranian Mathematical Society-Springer
Citation: José Rosales, Manuel Branco, Manuel Faria, Positioned Numerical Semigroups with Small Gender, Bulletin of the Iranian Mathematical Society (2022) 48:3239–3253
Abstract: An M-semigroup (respectively an N -semigroup) is a positioned numerical semigroup S, such that g(S) = F(S)+3/2 (respectively, g(S) = F(S)+4/2 ). In this paper, we describe and characterize this class of semigroups; in particular, we show that the type of an M-semigroup (respectively an N-semigroup) is equal to 2 or 3 (respectively 2, 3 or 4). Moreover, we give algorithms for computing the whole set of M-semigroups and N-semigroups.
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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