Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids

Mathematics – Commutative Algebra

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22 pages

Scientific paper

Arithmetical invariants---such as sets of lengths, catenary and tame
degrees---describe the non-uniqueness of factorizations in atomic monoids. We
study these arithmetical invariants by the monoid of relations and by
presentations of the involved monoids. The abstract results will be applied to
numerical monoids and to Krull monoids.

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