Weakly Factorial Domains and Groups of Divisibility
From MaRDI portal
Publication:3483377
DOI10.2307/2048117zbMath0704.13008OpenAlexW4244169373MaRDI QIDQ3483377
Muhammad Zafrullah, Daniel D. Anderson
Publication date: 1990
Full work available at URL: https://doi.org/10.2307/2048117
Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Divisibility and factorizations in commutative rings (13A05) Rings of fractions and localization for commutative rings (13B30)
Related Items
Prüfer-like conditions and pullbacks ⋮ \(t\)-linked extensions, the \(t\)-class group, and Nagata's theorem ⋮ Almost splitting sets in integral domains. II ⋮ Unnamed Item ⋮ Semigroup rings as weakly Krull domains ⋮ Nagata-like theorems for almost Prüfer \(v\)-multiplication domains ⋮ \(t\)-splitting sets in integral domains. ⋮ Semigroup rings as weakly factorial domains, II ⋮ Unique factorization property of non-unique factorization domains. II ⋮ Splitting sets in integral domains ⋮ Splitting the t-class group ⋮ Some remarks on Prüfer \(\bigstar\)-multiplication domains and class groups ⋮ Elasticity of factorizations in integral domains ⋮ Weakly factorial property of a generalized Rees ring \(D[X,d/X\)] ⋮ Weakly Krull and related domains of the form \(D+M, A+XB[X\) and \(A+X^2B[X]\)] ⋮ Generalized Krull domains and the composite semigroup ring \(D+E[\Gamma^{\ast}\)] ⋮ Homogeneous splitting sets of a graded integral domain ⋮ Arithmetic of seminormal weakly Krull monoids and domains ⋮ Unique factorization property of non-unique factorization domains ⋮ Criteria for unique factorization in integral domains ⋮ The \(w\)-integral closure of integral domains
Cites Work
