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.
Partition, Young tableau, numerical set, numerical semigroup, Arf semigroup, Arf closure
TUTAŞ, NESRİN; KARAKAŞ, HALİL İBRAHİM; and GÜMÜŞBAŞ, NİHAL
"Young tableaux and Arf partitions,"
Turkish Journal of Mathematics: Vol. 43:
1, Article 36.
Available at: https://journals.tubitak.gov.tr/math/vol43/iss1/36