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arXiv · 2003.13381

Generalized strongly increasing semigroups

E. R. García Barroso·J. I. García-García·A. Vigneron-Tenorio
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Abstract

In this work we present a new class of numerical semigroups called GSI-semigroups. We see the relations between them and others families of semigroups and we give explicitly their set of gaps. Moreover, an algorithm to obtain all the GSI-semigroups up to a given Frobenius number is provided and the realization of positive integers as Frobenius numbers of GSI-semigroups is studied.

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E. R. García Barroso, J. I. García-García, A. Vigneron-Tenorio. 2020-03-30. Generalized strongly increasing semigroups. https://doi.org/10.3390/math9121370

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