Minimal relations and the Diophantine Frobenius Problem in embedding dimension three
Alessio Moscariello
TL;DR
This paper derives a formula for minimal relations and the Frobenius number of three-generated numerical semigroups with pairwise coprime generators, advancing understanding of their algebraic structure.
Contribution
It introduces a new explicit formula for minimal relations and Frobenius number specifically for three-generated numerical semigroups.
Findings
Derived a formula for minimal relations.
Provided a formula for the Frobenius number.
Enhanced understanding of three-generator semigroups.
Abstract
This paper provides a formula for the minimal relations and the Frobenius number of a numerical semigroup minimally generated by three pairwise coprime positive integers.
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