AP-domains and unique factorization.

DOI10.1016/j.jpaa.2003.10.036zbMath1086.13007OpenAlexW2095140271MaRDI QIDQ1434763

Muhammad Zafrullah, Coykendall, Jim

Publication date: 12 July 2004

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2003.10.036

zbMATH Keywords

irreducible elementsprime elementsfactorial domains

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 (6)

Unnamed Item ⋮ MCD-finite Domains and Ascent of IDF Property in Polynomial Extensions ⋮ Elasticity in Polynomial-Type Extensions ⋮ An embedding theorem ⋮ Proper divisibility in computable rings ⋮ Polynomial extensions of IDF-domains and of IDPF-domains

Cites Work

• Unnamed Item
• Factorization in commutative rings with zero divisors
• Polynomial extensions of atomic domains
• On integral domains with no atoms

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