Young tableaux and Arf partitions

Authors: NESRİN TUTAŞ, HALİL İBRAHİM KARAKAŞ, NİHAL GÜMÜŞBAŞ

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.

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

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