We give a characterization on the sets A subset of N-d such that the monoid generated by A is a generalized numerical semigroup (GNS) in N-d. Furthermore we give a procedure to compute the hole set N-d S, where S is a GNS, if a finite set of generators of S is known.

On the generators of a generalized numerical semigroup / Cisto, C; Failla, Gioia; Utano, R. - In: ANALELE UNIVERSITAţII OVIDIUS CONSTANTA. SERIA MATEMATICA. - ISSN 1224-1784. - XXVII:1(2019), pp. 49-59. [10.2478/auom-2019-0003]

On the generators of a generalized numerical semigroup

FAILLA, Gioia
;
2019-01-01

Abstract

We give a characterization on the sets A subset of N-d such that the monoid generated by A is a generalized numerical semigroup (GNS) in N-d. Furthermore we give a procedure to compute the hole set N-d S, where S is a GNS, if a finite set of generators of S is known.
2019
Generalized numerical semigroup, minimal generators
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/753
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