Bewertungen nicht kommutativer Körper

DOI10.1016/0021-8693(77)90304-0zbMath0417.16006OpenAlexW2039928297MaRDI QIDQ754947

Karl Mathiak

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0021-8693(77)90304-0

zbMATH Keywords

skew fieldvaluation ringextension of valuations

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Generalizations of commutativity (associative rings and algebras) (16U80) Valued fields (12J10) Division rings and semisimple Artin rings (16Kxx)

Related Items (20)

Locally invariant Prüfer rings. ⋮ Characterizing nearly simple chain domains ⋮ Locally Archimedian right-ordered groups and locally invariant valuation rings ⋮ Extensions of Valuation Rings in Central Simple Algebras ⋮ Valuation rings in finite-dimensional division algebras ⋮ Stellen und Topologien von Schiefkörpern und Alternativkörpern. (Places and topologies of skew fields and alternative fields) ⋮ Zur Bewertungstheorie nicht kommutativer Körper ⋮ Zur Theorie nicht kommutativer Prüferringe ⋮ Der Approximationssatz für Bewertungen nicht kommutativer Körper ⋮ Valuation rings in Ore extensions ⋮ Group rings and generalized valuations ⋮ Chain rings and prime ideals ⋮ Locally Invariant and Semi-Invariant Right Cones ⋮ Ideal theory of right cones and associated rings ⋮ Valuations and group algebras ⋮ Über die Bewertungen endlich dimensionaler Divisionsalgebren ⋮ A classification of prime segments in simple artinian rings ⋮ ASSOCIATIONS AND VALUATIONS ⋮ On noncommutative Prüfer rings ⋮ Lokalinvariante Bewertungen. (Locally invariant valuations)

Cites Work

• Non-injective collineations on some sets in Desarguesian projective planes and extension of non-commutative valuations
• Valuation theory
• Homomorphismen projektiver Räume und Hjelmslevsche Geometrie.
• On Ordered Division Rings
• An Algebraically Simple Ordered Group
• Noncommutative valuations

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