Some factorization properties of Krull domains with infinite cyclic divisor class group

DOI10.1016/0022-4049(94)90122-8zbMath0831.13001OpenAlexW2045135308MaRDI QIDQ1339393

William W. Smith, Scott Thomas Chapman, David F. Anderson

Publication date: 6 February 1996

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(94)90122-8

zbMATH Keywords

Krull domainsfactorization propertieselasticity of factorizationbounded factorization domains

Mathematics Subject Classification ID

Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility and factorizations in commutative rings (13A05)

Related Items

Factorization in K[Xⁿ, Xⁿ⁺¹,…,X²ⁿ⁻¹], Finding Elements With Given Factorization Lengths and Multiplicities, Long minimal zero-sum sequences over a finite subset of \(\mathbb{Z}\), Generalized sets of lengths, The system of sets of lengths and the elasticity of submonoids of a finite-rank free commutative monoid, Full elasticity in atomic monoids and integral domains., Splitting multiplicative sets and elasticity, Elasticity of \(A+XI[X\) domains where \(A\) is a UFD], On the Delta set and catenary degree of Krull monoids with infinite cyclic divisor class group., On the arithmetic of tame monoids with applications to Krull monoids and Mori domains., On the arithmetic of Krull monoids with infinite cyclic class group, Minimal zero-sum sequences over \(-m, n\), Elasticities of Krull monoids with infinite cyclic class group, A semigroup-theoretical view of direct-sum decompositions and associated combinatorial problems, Monoids determined by a homogeneous linear Diophantine equation and the half-factorial property, Elasticity of \(A+XB[X\) domains], Davenport constant of a box in $\mathbb {Z}^2$, Elasticity of \(A+XI[X\) domains where \(A\) is a Dedekind domain], Elasticity and ramification, Factorization in \(K[X^ 2,X^ 3\)]

Cites Work

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