A numerical semigroup is an additive submonoid of the natural numbers with finite
complement. The size of the complement is called the genus of the semigroup. How many …

Young tableaux and Arf partitions Page 1 Turkish Journal of Mathematics Volume 43
Number 1 Article 36 1-1-2019 Young tableaux and Arf partitions NESRİN TUTAŞ HALİL …

The aim of this work is to exhibit a decomposition of partitions of natural numbers and
numerical sets. In particular, we obtain a decomposition of a sparse numerical set into the so …

A numerical set T is a subset of N 0 that contains 0 and has finite complement. The atom
monoid of T is the set of x∈ N 0 such that x+ T⊆ T. Marzuola and Miller introduced the anti …

This paper studies Young diagrams of symmetric and pseudo-symmetric numerical
semigroups and describes new operations on Young diagrams as well as numerical …

Almost symmetric Arf partitions Page 1 Turk J Math (2020) 44: 2185 – 2198 © TÜBİTAK doi:10.3906/mat-2003-74
Turkish Journal of Mathematics http://journals.tubitak.gov.tr/math/ Research Article Almost …

In this study, Young diagrams and their corresponding numerical sets are considered, and a
new notion called special subdiagrams is described. Characterizations of special …

A numerical semigroup is a cofinite subset of N0, containing 0, that is closed under addition.
Its genus is the number of nonnegative integers that it does not contain. A numerical set is a …

A numerical set $ S $ is a cofinite subset of $\mathbb {N} $ which contains $0 $. We use the
natural bijection between numerical sets and Young diagrams to define a numerical set …

Numerical semigroups are cofinite additive submonoids of the natural numbers. Keith and
Nath illustrated an injection from numerical semigroups to integer partitions (Keith and Nath …