Length Functions on Integral Domains

DOI10.2307/2048767zbMath0738.13018OpenAlexW4214703262MaRDI QIDQ3983068

Paula Pruis, David F. Anderson

Publication date: 27 June 1992

Full work available at URL: https://doi.org/10.2307/2048767

zbMATH Keywords

integral domainlengths of factorizations

Mathematics Subject Classification ID

Integral domains (13G05) Divisibility and factorizations in commutative rings (13A05)

Related Items (10)

On length densities ⋮ Some factorization properties of Krull domains with infinite cyclic divisor class group ⋮ Factorization of powers in \(C\)-monoids. ⋮ On the asymptotic behaviour of lengths of factorizations ⋮ Elasticity of factorizations in integral domains ⋮ Rational Elasticity of Factorizations in Krull Domains ⋮ On The Asymptotic Values of Length Functions In Krull And Finitely Generated commutative Monoids ⋮ On elasticities of locally finitely generated monoids ⋮ Some remarks on half-factorial orders ⋮ On the asymptotic behaviour of the number of distinct factorizations into irreducibles

Cites Work

• Factorization in integral domains
• Atomic rings without a.c.c. on principal ideals
• Half-factorial-domains
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