On finite conductor domains

DOI10.1007/BF01310053zbMath0383.13013OpenAlexW1993042286MaRDI QIDQ1248654

Muhammad Zafrullah

Publication date: 1978

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154541

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (50)

Duals and Transforms of Ideals in PVMDs ⋮ Revisiting G-Dedekind domains ⋮ Local–Global Properties for Semistar Operations ⋮ Trivial Extensions Defined by Coherent-like Conditions ⋮ On Weakly Finite Conductor Rings ⋮ Some Boundedness Conditions for Rings of Integer-Valued Polynomials ⋮ On divisorial prime ideals in Prüfer v-multiplication domains ⋮ Semistar GCD Domains ⋮ Unnamed Item ⋮ Various Facets of Rings BetweenD[X andK[X]] ⋮ Sur un theoreme de nagata ⋮ The \(D+XD_ s[X\) construction from GCD-domains] ⋮ Integral domains issued from associated primes ⋮ On t-invertibility II ⋮ Primary decomposition of divisorial ideals in Mori domains ⋮ On generalized Dedekind domains ⋮ Integral domains of finite \(t\)-character ⋮ The class group of integral domains. ⋮ Purity and quasi-split torsors over Prüfer bases ⋮ Unnamed Item ⋮ Integral domains having a unique Kronecker function ring ⋮ Invertibility, Semistar Operations, and the Ring of Finite Fractions ⋮ When the Semistar Operation is the Identity ⋮ On t-invertibility ⋮ On the converse of a well-known fact about Krull domains ⋮ On Pruefer v-multiplication domains ⋮ Well behaved prime t-ideals ⋮ A general theory of class groups ⋮ GRADED INTEGRAL DOMAINS IN WHICH EACH NONZERO HOMOGENEOUS IDEAL IS DIVISORIAL ⋮ THE v-OPERATION IN EXTENSIONS OF INTEGRAL DOMAINS ⋮ Integral domains in which any two \(v\)-coprime elements are comaximal ⋮ Splitting the t-class group ⋮ Reflexive Modules over Coherent GCD-Domains ⋮ \(FT\)-domains and Gorenstein Prüfer \(v\)-multiplication domains ⋮ t-Schreier Domains ⋮ A ``\(v\)-operation free approach to Prüfer \(v\)-multiplication domains ⋮ Ascending chain conditions and star operations ⋮ Prüfer \(v\)-multiplication domains and related domains of the form \(D+D_S[\varGamma ^{*}\)] ⋮ Star operations in extensions of integral domains ⋮ A Hereditary Torsion Theory for Modules Over Integral Domains and Its Applications ⋮ On the integral domains characterized by a Bézout property on intersections of principal ideals ⋮ Radical factorization in finitary ideal systems ⋮ Integral ∨-ideals ⋮ Some polynomial characterizations of Prüfer v-multiplication domains ⋮ Integral domains and the IDF property ⋮ Divisors on varieties over valuation domains. ⋮ A note on two dimensional rings ⋮ wDimension of domains ⋮ The v-operation and intersections of quotient rings of integral domains ⋮ A general theory of almost factoriality

Cites Work

• Unnamed Item
• Unnamed Item
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• The construction \(D+XD_s[X\)]
• Two conductor theorems
• Direct Products of Modules
• Some Results on v-Multiplication Rings
• On Going Down for Simple Overrings
• Gauss' Lemma

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