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Length density and numerical semigroups (2110.10618v1)
Published 20 Oct 2021 in math.AC
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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