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

Length density and numerical semigroups

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classification math.AC
keywords densitylengthfactorizationnumericalsemigroupsadditiveassignedatomic
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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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