On numerical semigroups with embedding dimension three

Let $fneq1,3$ be a positive integer‎. ‎We prove that there exists a numerical semigroup $S$ with embedding dimension three such that $f$ is the Frobenius number of $S$‎. ‎We also show that‎ ‎the same fact holds for affine semigroups in higher dimensional monoids‎.

Bibliographic Details
Main Authors: Ali Mahdavi, Farhad Rahmati
Format: Article
Language:English
Published: University of Isfahan 2017-06-01
Series:Transactions on Combinatorics
Subjects:
Online Access:http://toc.ui.ac.ir/article_20736_f17d7b141a073f2b8afd89a9f3d6327d.pdf