Mathematics – Commutative Algebra
Scientific paper
2010-06-22
Mathematics
Commutative Algebra
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.
Blanco Víctor
García-Sánchez Pedro A.
Geroldinger Alfred
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