Sfields finitely right-generated over subrings

DOI10.1080/00927878308822938zbMath0476.16018OpenAlexW2047953369MaRDI QIDQ3933128

George M. Bergman

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1080/00927878308822938

zbMATH Keywords

finitely generated skew fieldsfree algebra on countably many generatorspower series sfields over ordered groups

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Ordered groups (group-theoretic aspects) (20F60) Division rings and semisimple Artin rings (16Kxx)

Related Items (1)

Constructing division rings as module-theoretic direct limits

Cites Work

• Rational relations and rational identities in division rings. I

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