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Length density and numerical semigroups

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arxiv 2110.10618 v1 pith:4PAYFDPF submitted 2021-10-20 math.AC

Cole Brower , Scott Chapman , Travis Kulhanek , Joseph McDonough , Christopher O'Neill , Vody Pavlyuk , Vadim Ponomarenko This is my paper · ORCID
classification math.AC
keywords densitylengthfactorizationnumericalsemigroupsadditiveassignedatomic
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abstract

Length density is a recently introduced factorization invariant, assigned to each element $n$ of a cancellative commutative atomic semigroup $S$, that measures how far the set of factorization lengths of $n$ is from being a full interval. We examine length density of elements of numerical semigroups (that is, additive subsemigroups of the non-negative integers).

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