论文标题

广义强劲增加的半群

Generalized strongly increasing semigroups

论文作者

Barroso, E. R. García, García-García, J. I., Vigneron-Tenorio, A.

论文摘要

在这项工作中,我们介绍了一类新的数值半群,称为GSI-序列。我们看到了他们与其他人群之间的关系,并明确给出了他们的差距。此外,提供了一种算法,以获取所有GSI - 序列,最多提供了给定的Frobenius数,并研究了正整数的实现,因为研究了GSI-序列的Frobenius数量。

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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