Locally Archimedian right-ordered groups and locally invariant valuation rings

DOI10.1016/0021-8693(87)90197-9zbMath0609.16002OpenAlexW1973006438MaRDI QIDQ1086657

Günter Törner, Christine Bessenrodt

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90197-9

zbMATH Keywords

valuation ringsprime idealsright chain ringsapproximation theoremchain ringslocally invariant valuationsright ordered groupsnoncommutative valuation theory

Mathematics Subject Classification ID

Group rings (16S34) Valuations and their generalizations for commutative rings (13A18) Noncommutative local and semilocal rings, perfect rings (16L30) Ordered groups (06F15) Localization and associative Noetherian rings (16P50) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (1)

On nilpotent element of distributive rings

Cites Work

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• Bewertungen nicht kommutativer Körper
• Right-ordered groups
• Über die Bewertungen endlich dimensionaler Divisionsalgebren
• Lokalinvariante Bewertungen. (Locally invariant valuations)
• Chain domains
• Right chain rings and the generalized semigroup of divisibility
• Zur Bewertungstheorie nicht kommutativer Körper
• Der Approximationssatz für Bewertungen nicht kommutativer Körper
• Group rings and generalized valuations
• The group algebra of a torsion-free one-relator group can be embedded in a field
• Right-Ordered Locally Nilpotent Groups

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