Adding or removing an element from a pseudo-symmetric numerical semigroup

Rosales, J. C.

Rosales, J. C.

Bollettino dell'Unione Matematica Italiana, Tome 9-A (2006), p. 681-696 / Harvested from Biblioteca Digitale Italiana di Matematica

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Abstract
Résumé

If $S$ is a pseudo-symmetric numerical semigroup, $g$ is its Frobenius number and $S$ is a minimal generator of $S$ , then $S\cup\{g\}$ , $S\setminus\{g\}$ S and $S\cup\{\frac{1}{2}g,g\}$ are also numerical semigroups. In this paper we study these constructions.

Se $S$ è un semigruppo numerico pseudo-simmetrico, se $g$ è il suo numero di Frobenius e se $x$ è un generatore minimo di $S$ allora anche $S\cup\{g\}$ , $S\setminus\{g\}$ e $S\cup\{\frac{1}{2}g,g\}$ sono semigruppi numerici. In questo lavoro ci proponiamo di studiare tali costruzioni.

Publié le : 2006-10-01

MR 2274120 | Zbl 1147.20052

@article{BUMI_2006_8_9B_3_681_0,
     author = {J. C. Rosales},
     title = {Adding or removing an element from a pseudo-symmetric numerical semigroup},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {9-A},
     year = {2006},
     pages = {681-696},
     zbl = {1147.20052},
     mrnumber = {2274120},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2006_8_9B_3_681_0}
}

Rosales, J. C. Adding or removing an element from a pseudo-symmetric numerical semigroup. Bollettino dell'Unione Matematica Italiana, Tome 9-A (2006) pp. 681-696. http://gdmltest.u-ga.fr/item/BUMI_2006_8_9B_3_681_0/

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