Criteria for unique factorization in integral domains

DOI10.1016/S0022-4049(96)00183-1zbMath0949.13015OpenAlexW2101324622MaRDI QIDQ1295511

Muhammad Zafrullah, Franz Halter-Koch, Daniel D. Anderson, Scott Thomas Chapman

Publication date: 26 June 2000

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

Full work available at URL: https://doi.org/10.1016/s0022-4049(96)00183-1

zbMATH Keywords

UFDintegral domainsKrull domainfactorization propertiesCohen-Kaplansky domain

Mathematics Subject Classification ID

Integral domains (13G05) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Divisibility and factorizations in commutative rings (13A05)

Related Items

Integral domains with highly nonunique factorization, The catenary degree of Krull monoids. I, FACTORIZATION IN MONOID DOMAINS, On the Delta set and catenary degree of Krull monoids with infinite cyclic divisor class group., Factorization in Integral Domains, IV, Monoids determined by a homogeneous linear Diophantine equation and the half-factorial property

Cites Work

• Factorization in Dedekind domains with finite class group
• Cohen-Kaplansky domains: Integral domains with a finite number of irreducible elements
• Elasticity of factorizations in atomic monoids and integral domains
• Divisorentheorie einer Halbgruppe
• On Monoids of Finite Real Character
• Weakly Factorial Domains and Groups of Divisibility
• Krull Semigroups and Divisor Class Groups
• On the hfd, chfd, and k-hfd properties in dedekind domains
• Atomic domains in which almost all atoms are prime
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