Young tableaux and Arf partitions

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Date

2019

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Abstract

The aim of this work is to exhibit some relations between partitions of natural numbers and Arf semigroups. We also give characterizations of Arf semigroups via the hook-sets of Young tableaux of partitions.

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Partition, Young tableau, numerical set, numerical semigroup, Arf semigroup, Arf closure

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