On numerical semigroups with embedding dimension three

Document Type: Research Paper


Amirkabir University of Technology


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.


Main Subjects

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