Polynomial extensions of IDF-domains and of IDPF-domains

DOI10.1090/S0002-9939-08-09531-2zbMath1180.13025MaRDI QIDQ3604992

Frank Okoh, Peter Malcolmson

Publication date: 25 February 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

IDFpolynomialsfactorizationirreducibleIDPF

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25) Integral domains (13G05) 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 (5)

MCD-finite Domains and Ascent of IDF Property in Polynomial Extensions ⋮ On Monoids and Domains Whose Monadic Submonoids Are Krull ⋮ Divisibility in rings of integer-valued polynomials ⋮ On Fragility of Generalizations of Factoriality ⋮ Integral domains and the IDF property

Cites Work

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• Factorization in integral domains
• The diamond lemma for ring theory
• Irreducible divisors in domains of finite character
• Factorization in integral domains. III
• AP-domains and unique factorization.
• Polynomial extensions of atomic domains
• Finite factorization domains
• Algèbre commutative
• Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman

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