Almost symmetric numerical semigroups with high type

Authors: PEDRO A. GARCIA-SANCHEZ, IGNACIO OJEDA

Abstract: We establish a one-to-one correspondence between numerical semigroups of genus $g$ and almost symmetric numerical semigroups with Frobenius number $F$ and type $F-2g$, provided that $F$ is greater than or equal to $4g-1$.

Keywords: Numerical semigroup, almost symmetric numerical semigroup, Frobenius number, pseudo-Frobenius number, genus, type

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