Valuations on finite-dimensional division algebras and their value groups

DOI10.1007/BF01206470zbMath0627.16015OpenAlexW109529125MaRDI QIDQ581515

Joachim Graeter

Publication date: 1988

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01206470

zbMATH Keywords

valuationslattice-ordered groupvaluation ringcentredistinct extensionsfinite-dimensional division algebrainvertible two-sided idealsvalue group

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Valuations and their generalizations for commutative rings (13A18) Finite-dimensional division rings (16K20)

Related Items (3)

Dubrovin valuation rings and Henselization ⋮ Strong right D-domains ⋮ A note on valued division algebras

Cites Work

• Subdirectly irreducible commutative rings
• Global subdirect products
• Subdirect unions in universal algebra
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