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arXiv · 2207.13206

Irreducibility of Arf Numerical Semigroups

Meral Süer
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Abstract

In this paper, we introduce the concept of Arf special gaps of an Arf numerical semigroup, and an algorithm for computing all Arf special gaps of a given Arf numerical semigroup. We introduce the concept of Arf-irreducible numerical semigroups, and draw conclusions about all these concepts. We give a system of generators for the Frobenius variety and variety of families of Arf numerical semigroups. Moreover, we obtain the minimal Arf system of generators of a given Arf numerical semigroup.

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Meral Süer. 2022-07-26. Irreducibility of Arf Numerical Semigroups. https://arxiv.org/abs/2207.13206

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