Factorization in Integral Domains, IV

DOI10.1080/00927870903389167zbMath1216.13001OpenAlexW1990350126MaRDI QIDQ3079294

David F. Anderson, Daniel D. Anderson

Publication date: 2 March 2011

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870903389167

zbMATH Keywords

FFDUFDhalf-factorial domainHFDfactorial domainunique factorization domainatomic domainBFDQFDbounded factorization domainfinite factorization domainCohen-Kaplansky domainCKDequivalences on irreducible elements

Mathematics Subject Classification ID

Integral domains (13G05) 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)

Related Items

On the additive structure of algebraic valuations of polynomial semirings ⋮ Length-factoriality in commutative monoids and integral domains ⋮ Interplay between four conjectures on certain zero-sum problems. ⋮ Bounded and finite factorization domains ⋮ On the set of molecules of numerical and Puiseux monoids ⋮ An addition theorem and its arithmetical application

Cites Work

• Factorization in integral domains
• Factorization in integral domains without identity
• Cohen-Kaplansky domains: Integral domains with a finite number of irreducible elements
• Factorization in integral domains. II
• \(D+M\) constructions with general overrings
• Criteria for unique factorization in integral domains
• Factorization in integral domains. III
• Über die multiplikative Struktur von Körpererweiterungen
• Atomic domains in which almost all atoms are prime
• Schreier Rings
• Finite factorization domains
• Unnamed Item
• Unnamed Item
• Unnamed Item