Special subdiagrams of Young diagrams and numerical semigroups

Authors

MERAL SÜERFollow
MEHMET YEŞİLFollow

Abstract

In this study, Young diagrams and their corresponding numerical sets are considered, and a new notion called special subdiagrams is described. Characterizations of special subdiagrams and their corresponding numerical sets, as well as the conditions when they are numerical semigroups, are provided. Young diagrams of symmetric, almost symmetric and Arf numerical semigroups are also considered and properties of their special subdiagrams are given.

DOI

10.55730/1300-0098.3510

Keywords

Numerical sets, partitions, Young diagrams, special subdiagrams, numerical semigroups

First Page

346

Last Page

359

Recommended Citation

SÜER, MERAL and YEŞİL, MEHMET (2024) "Special subdiagrams of Young diagrams and numerical semigroups," Turkish Journal of Mathematics: Vol. 48: No. 2, Article 16. https://doi.org/10.55730/1300-0098.3510
Available at: https://journals.tubitak.gov.tr/math/vol48/iss2/16