Perfect Pairs of Ideals and Duals in Numerical Semigroups

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dc.creatorHerzinger, Kurt
dc.creatorWilson, Stephen
dc.creatorSieben, Nándor
dc.creatorRushall, Jeff
dc.date2005-08-31
dc.date.accessioned2026-07-07T05:22:49Z
dc.date.available2026-07-07T05:22:49Z
dc.descriptionThis paper considers numerical semigroups $S$ that have a non-principal relative ideal $I$ such that $μ_S(I)μ_S(S-I)=μ_S(I+(S-I)) $. We show the existence of an infinite family of such which $I+(S-I)=S\backslash\{0\}$. We also show examples of such pairs that are not members of this family. We discuss the computational process used to find these examples and present some open questions pertaining to them.
dc.identifierhttps://arxiv.org/abs/math/0508631
dc.identifierhttp://arxiv.org/abs/math/0508631
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76211
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject20M14
dc.titlePerfect Pairs of Ideals and Duals in Numerical Semigroups
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