Symmetric and Pseudo-Symmetric Numerical Semigroups via Young Diagrams and Their Semigroup Rings
Group Theory
2020-11-18 v1 Commutative Algebra
Combinatorics
Abstract
This paper studies Young diagrams of symmetric and pseudo-symmetric numerical semigroups and describes new operations on Young diagrams as well as numerical semigroups. These provide new decompositions of symmetric and pseudo-symmetric semigroups into an over semigroup and its dual. It is also given exactly for what kind of numerical semigroup , the semigroup ring has at least one Gorenstein subring and has at least one Kunz subring.
Keywords
Cite
@article{arxiv.2011.08540,
title = {Symmetric and Pseudo-Symmetric Numerical Semigroups via Young Diagrams and Their Semigroup Rings},
author = {Meral Süer and Mehmet Yeşil},
journal= {arXiv preprint arXiv:2011.08540},
year = {2020}
}