On the genus of a quotient of a numerical semigroup. (English) Zbl 1458.20049
Summary: We find a relation between the genus of a quotient of a numerical semigroup \(S\) and the genus of \(S\) itself. We use this identity to compute the genus of a quotient of \(S\) when \(S\) has embedding dimension 2. We also exhibit identities relating the Frobenius numbers and the genus of quotients of numerical semigroups that are generated by certain types of arithmetic progressions.
MSC:
| 20M14 | Commutative semigroups |
References:
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