Please use this identifier to cite or link to this item:
http://hdl.handle.net/10174/34675
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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
https://doi.org/10.1007/s41980-022-00692-1 |
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. |
URI: | https://link.springer.com/article/10.1007/s41980-022-00692-1 http://hdl.handle.net/10174/34675 |
Type: | article |
Appears in Collections: | CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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