Numerical semigroups from open intervals

Vadim Ponomarenko; Ryan Rosenbaum

doi:10.2140/involve.2010.3.333

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Home > Journals > Involve > Volume 3 > Issue 3 > Article

2010 Numerical semigroups from open intervals

Vadim Ponomarenko, Ryan Rosenbaum

Involve 3(3): 333-340 (2010). DOI: 10.2140/involve.2010.3.333

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Abstract

We consider numerical semigroups $ℕ \cap ℕ I$ , for intervals $I$ . We compute the Frobenius number and multiplicity of such semigroups, and show that we may freely restrict $I$ to be open, closed, or half-open, as we prefer.

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Vadim Ponomarenko. Ryan Rosenbaum. "Numerical semigroups from open intervals." Involve 3 (3) 333 - 340, 2010. https://doi.org/10.2140/involve.2010.3.333