2019
DOI: 10.1007/s00233-018-9989-3
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On the genus of a quotient of a numerical semigroup

Abstract: 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.

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Cited by 3 publications
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“…Quotients of numerical semigroups have appeared in the literature over the past couple of decades [17,21] as well as recently [1,14]. See [18,Ch.…”
Section: Introductionmentioning
confidence: 99%
“…Quotients of numerical semigroups have appeared in the literature over the past couple of decades [17,21] as well as recently [1,14]. See [18,Ch.…”
Section: Introductionmentioning
confidence: 99%