ON A CLASS OF PRUFER -MULTIPLICATION DOMAINS

DOI10.1081/AGB-120005815zbMath1054.13001MaRDI QIDQ4781537

Saïd El Baghdadi

Publication date: 2002

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

zbMATH Keywords

flatnesspolynomial ringsDedekind domainPrüfer domainKrull domainpullback\(t\)-operationPrüfer \(v\)-multiplication domaingeneralized Krull domainGK-domainlocalizing system of ideals

Mathematics Subject Classification ID

Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility and factorizations in commutative rings (13A05)

Related Items (20)

Duals and Transforms of Ideals in PVMDs ⋮ Some results on \(t\)-locally strong Mori domains and their rings of integer-valued polynomials ⋮ Ring-Theoretic Properties of PvMDs ⋮ The \(t\)\#-property for integral domains ⋮ Star stable domains ⋮ Integral domains issued from associated primes ⋮ Integral domains with Boolean \(t\)-class semigroup ⋮ Unique representation domains. II. ⋮ ES-w-stability ⋮ Injective Modules over Prüferv-Multiplication Domains ⋮ On the transfer of some $t-$locally properties ⋮ \(w\)-divisorial domains ⋮ t-class semigroups of integral domains ⋮ Generalized Krull Semigroup Rings ⋮ Topological Aspects of Irredundant Intersections of Ideals and Valuation Rings ⋮ A Note ont-SFT-rings ⋮ On ϕ-piecewise Noetherian rings ⋮ Stability and Clifford Regularity with Respect to Star Operations ⋮ A note on generalized Krull domains ⋮ Ideal factorization in strongly discrete independent rings of Krull type

Cites Work

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• On divisorial prime ideals in Prüfer v-multiplication domains
• Topologically defined classes of commutative rings
• On Pruefer v-multiplication domains
• Invertible and divisorial ideals of generalized Dedekind domains
• On a class of rings that generalize Dedekind rings
• On the class group and the local class group of a pullback
• \(t\)-linked extensions, the \(t\)-class group, and Nagata's theorem
• On flat overrings, ideal transforms and generalized transforms of a commutative ring
• t-Linked overrings and prüfer v-multiplication domains
• Star-operations induced by overrings
• Prüfer ∗ -multiplication domains and torsion theories
• The class group of a strongly mori domain
• Sur une classe d'anneaux de prüfer avec groupe de classes de torsion
• Agreeable domains
• Localizing systems, module systems, and semistar operations

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