On The Asymptotic Values of Length Functions In Krull And Finitely Generated commutative Monoids

DOI10.1017/S1446788700003396zbMath1078.20059OpenAlexW2002028673MaRDI QIDQ4462476

José Carlos Rosales, Scott Thomas Chapman

Publication date: 18 May 2004

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788700003396

zbMATH Keywords

algorithmselasticitylength functionsKrull monoidsproducts of irreducible elementslengths of factorizationshalf-factorial monoids

Mathematics Subject Classification ID

Commutative semigroups (20M14) Free semigroups, generators and relations, word problems (20M05) Semigroup rings, multiplicative semigroups of rings (20M25) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Factorization (11Y05)

Related Items

Factorization length distribution for affine semigroups. I: Numerical semigroups with three generators, Some remarks on half-factorial orders

Cites Work

• Unnamed Item
• An analysis using the Zaks-Skula constant of element factorizations in Dedekind domains
• A characterization of algebraic number fields with cyclic class group of prime power order
• On non-unique factorizations into irreducible elements
• On the asymptotic behaviour of lengths of factorizations
• Monoids determined by a homogeneous linear Diophantine equation and the half-factorial property
• Half-factorial-domains
• Length Functions on Integral Domains
• Rational Elasticity of Factorizations in Krull Domains
• Half factorial domains
• A Characterization of Algebraic Number Fields with Class Number Two