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arXiv · 1006.4222

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

Víctor Blanco·Pedro A. García-Sánchez·Alfred Geroldinger
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Abstract

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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Víctor Blanco, Pedro A. García-Sánchez, Alfred Geroldinger. 2010-06-22. Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids. https://arxiv.org/abs/1006.4222

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