Valuation rings in finite-dimensional division algebras

DOI10.1016/0021-8693(89)90190-7zbMath0667.16017OpenAlexW2025622708MaRDI QIDQ1117304

Joachim Graeter, Hans-Heinrich Brungs

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90190-7

zbMATH Keywords

extensionsvaluation ringintegral closuredivision algebra

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Finite-dimensional division rings (16K20)

Related Items (20)

Dubrovin valuation rings and v-topologies ⋮ Extensions of Valuation Rings in Central Simple Algebras ⋮ Weakly *-ordered *-fields ⋮ Integral semihereditary orders, extremality, and Henselization ⋮ Extending rings of Prüfer type in central simple algebras. ⋮ Extending valuation rings via ultrafilters ⋮ Strong right D-domains ⋮ Endomorphism rings, power series rings, and serial modules ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Valuation rings in Ore extensions ⋮ Some mixed matrix problems over several discrete valuation rings ⋮ Maximal orders over valuation rings ⋮ A note on valued division algebras ⋮ On extending Prüfer rings in central simple algebras ⋮ Trees and valuation rings ⋮ Semidistributive modules ⋮ An approximation theorem for Dubrovin valuation rings ⋮ Locally Invariant and Semi-Invariant Right Cones ⋮ Distributive modules and rings and their close analogs

Cites Work

• Bewertungen nicht kommutativer Körper
• Über die Bewertungen endlich dimensionaler Divisionsalgebren
• Zur Theorie nicht kommutativer Prüferringe
• Valuation theory
• Extending Valuations to Finite Dimensional Division Algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Valuation rings in finite-dimensional division algebras