Factorization in integral domains. III

DOI10.1016/S0022-4049(97)00147-3zbMath0933.13001MaRDI QIDQ1295697

Driss Nour El Abidine, David F. Anderson

Publication date: 29 March 2000

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

zbMATH Keywords

factorization in integral domainsfactorization in polynomial ringfactorization in power series ring

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) Formal power series rings (13F25) Divisibility and factorizations in commutative rings (13A05)

Related Items (21)

Pairs of domains where all intermediate domains satisfy S-ACCP ⋮ Various Facets of Rings BetweenD[X andK[X]] ⋮ ON BOUNDING MEASURES OF PRIMENESS IN INTEGRAL DOMAINS ⋮ Half-factorial subrings of factorial domains ⋮ ON MAXIMAL NON-ACCP SUBRINGS ⋮ FACTORIZATION IN PRÜFER DOMAINS ⋮ Power Series Over an Ascending Chain of Rings ⋮ FACTORIZATION IN MONOID DOMAINS ⋮ WELL-CENTERED PAIRS OF RINGS ⋮ The \(A+ XB[X\) and \(A+ XBX\) constructions from \(GCD\)-domains] ⋮ Elasticity of \(A+XI[X\) domains where \(A\) is a UFD] ⋮ Polynomial extensions of IDF-domains and of IDPF-domains ⋮ Power series extensions of half-factorial domains ⋮ Factorization in Integral Domains, IV ⋮ On Factorization in Modules ⋮ Bounded and finite factorization domains ⋮ On the set of molecules of numerical and Puiseux monoids ⋮ Some remarks on the \(D + M\) construction ⋮ Hereditary atomicity in integral domains ⋮ Elasticity of \(A+XI[X\) domains where \(A\) is a Dedekind domain] ⋮ Elasticity and ramification

Cites Work

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• Factorization in integral domains
• Topologically defined classes of commutative rings
• Atomic rings without a.c.c. on principal ideals
• Splitting the t-class group
• Finiteness theorems for factorizations
• Cohen-Kaplansky domains: Integral domains with a finite number of irreducible elements
• Elasticity of factorizations in integral domains
• Factorization in integral domains. II
• \(D+M\) constructions with general overrings
• Irreducible divisors in domains of finite character
• The construction \(D+XD_s[X\)]
• Half-factorial-domains
• Polynomial extensions of atomic domains
• Über die multiplikative Struktur von Körpererweiterungen
• Overrings and divisorial ideals of rings of the form \(D+M\)
• Elasticity of factorization in number fields
• Half factorial domains
• Pairs of Rings with the Same Prime Ideals
• Remarks on pseudo-valuation rings
• Finite factorization domains

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