Value Functions on Central Simple Algebras

DOI10.2307/2001297zbMath0694.16017OpenAlexW4231314875MaRDI QIDQ3469238

Patrick J. Morandi

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2001297

zbMATH Keywords

total subringsdivision ringDubrovin valuation ringsvaluation functioninvariant valuation ringssimple artinian algebraintegral Dubrovin valuation ringstensor product of central simple algebras

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Valuations and their generalizations for commutative rings (13A18) Division rings and semisimple Artin rings (16Kxx)

Related Items (12)

Quasi-valuations extending a valuation ⋮ Value functions on simple Artinian rings ⋮ Domain theory aspects of extensions of integral domains ⋮ On Dubrovin Valuation Rings in Crossed Product Algebras ⋮ Maximal orders over valuation rings ⋮ Value functions and associated graded rings for semisimple algebras ⋮ Value functions and Dubrovin valuation rings on simple algebras ⋮ Integral Dubrovin Valuation Rings ⋮ Correspondences between valued division algebras and graded division algebras ⋮ An approximation theorem for Dubrovin valuation rings ⋮ Extensions of integral domains and quasi-valuations ⋮ Quasi-valuations and algebras over valuation domains

Cites Work

• Division algebras over Henselian fields.
• Kummer subfields of Malcev-Neumann division algebras
• Cyclic and elementary abelian subfields of Malcev-Neumann division algebras
• Dubrovin valuation rings and Henselization
• The Henselization of a valued division algebra
• Valuated division algebras and crossed products
• On central division algebras
• Valuation theory
• Totally Ramified Valuations on Finite-Dimensional Division Algebras
• Extensions of Valuation Rings in Central Simple Algebras
• Ostrwoski's theorem for Henselian valued skew fields.
• Integral Dubrovin Valuation Rings
• A New Construction of Noncrossed Product Algebras
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