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arXiv · 2408.02425

Gapset Extensions, Theory and Computations

Arman Ataei Kachouei·Farhad Rahmati
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Abstract

In this paper we extend some set theoretic concepts of numerical semigroups for arbitrary sub-semigroups of natural numbers. Then we characterized gapsets which leads to a more efficient computational approach towards numerical semigroups and finally we introduce the extension of gapsets and prove that the sequence of the number of gapsets of size $g$ is non-decreasing as a weak version of Bras-Amorós's conjecture.

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Arman Ataei Kachouei, Farhad Rahmati. 2024-08-05. Gapset Extensions, Theory and Computations. https://arxiv.org/abs/2408.02425

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