The genus, Frobenius number and pseudo-Frobenius numbers of numerical semigroups of type 2
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Published:2016-07-19
Issue:5
Volume:146
Page:1081-1090
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ISSN:0308-2105
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Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
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language:en
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Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
Author:
Robles-Pérez Aureliano M.,Rosales José Carlos
Abstract
We study some questions on numerical semigroups of type 2. On the one hand, we investigate the relation between the genus and the Frobenius number. On the other hand, for two fixed positive integers g1, g2, we give necessary and sufficient conditions in order to have a numerical semigroup S such that {g1, g2} is the set of its pseudo-Frobenius numbers and, moreover, we explicitly build families of such numerical semigroups.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics