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Proportionally modular Diophantine inequalities. (English) Zbl 1039.20036
The authors study the sets of nonnegative solutions of Diophantine inequalities of the form \(ax\) mod \(b \leq cx\) with \(a, b\) and \(c\) positive integers. These sets are numerical semigroups, which are investigated and characterized.

MSC:
20M14 Commutative semigroups
11D75 Diophantine inequalities
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