On numerical semigroups with embedding dimension three

نویسندگان

1 Amirkabir University of Technology

2 Amirkabir University of Technology

doi
10.22108/toc.2017.20736
چکیده

Let $f\neq1,3$ 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.