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 …

The first elements of the quotient of a numerical semigroup by a positive integer

A Moscariello - Semigroup Forum, 2015 - Springer
Given three pairwise coprime positive integers a_1, a_2, a_3 ∈ Z^+ a 1, a 2, a 3∈ Z+ we
show the existence of a relation between the sets of the first elements of the three quotients …