On valuation subalgebras and their centres

DOI10.1017/S0017089500007606zbMath0668.13015MaRDI QIDQ3820716

C. P. L. Rhodes

Publication date: 1989

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

valuation ringsLocalizationchain of submodules

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Chain conditions, finiteness conditions in commutative ring theory (13E99) Arithmetic rings and other special commutative rings (13F99)

Related Items (2)

Relarively prüfer pairs ⋮ The \(S\)-transform and its dual with applications to Prüfer extensions

Cites Work

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• The structure of valuation rings
• The structure of valuation rings. II
• Valuation Subalgebras and Analogues of the Decomposition of a Radical Ideal into Prime Ideals
• Non-Unitary Valuation Subalgebras
• Finite and infinite primes for rings and fields
• Valuations on a Commutative Ring
• Prüfer rings with zero divisors.
• Integral Dependence and Valuation Algebras
• HOMOMORPHISMS AND THE SPACE OF VALUATION MODULS
• Valuation ideals with zero divisors.
• On Valuation Rings That Contain Zero Divisors
• Valuations and Prufer Rings

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