On the genus of a quotient of a numerical semigroup

A Adeniran, S Butler, C Defant, Y Gao, PE Harris… - Semigroup Forum, 2019 - Springer
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 …

On the Multiplicity of a Proportionally Modular Numerical Semigroup

Z Gu - Discrete Dynamics in Nature and Society, 2021 - Wiley Online Library
A proportionally modular numerical semigroup is the set S (a, b, c) of nonnegative integer
solutions to a Diophantine inequality of the form ax mod b≤ cx, where a, b, and c are …

[HTML][HTML] Minimal relations and the Diophantine Frobenius problem in embedding dimension three

A Moscariello - Journal of Number Theory, 2017 - Elsevier
Minimal relations and the Diophantine Frobenius problem in embedding dimension three -
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