On a family of saturated numerical semigroups with multiplicity four

Authors: MERAL SÜER, SEDAT İLHAN

Abstract: In this study, we will give some results on Arf numerical semigroups of multiplicity four generated by $\left\{ 4,k,k+1,k+2\right\} $ where $k$ is an integer not less than $5$ and $k\equiv 1(\mbox{mod } 4)$.

Keywords: Numerical semigroups, saturated numerical semigroups, Arf numerical semigroups, Frobenius number, genus, Apery set

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