Skew power series rings with general commutation formula

DOI10.1016/0304-3975(92)90382-PzbMath0780.16031MaRDI QIDQ1194320

François Dumas

Publication date: 27 September 1992

Published in: Theoretical Computer Science (Search for Journal in Brave)

zbMATH Keywords

automorphismrationalityformal power seriesadditive mapsformal Laurent seriessubfieldformal differential operatorhigher \(\sigma\)-derivations

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Infinite-dimensional and general division rings (16K40) Derivations, actions of Lie algebras (16W25) Rings of differential operators (associative algebraic aspects) (16S32)

Related Items (2)

Invariants of formal pseudodifferential operator algebras and algebraic modular forms ⋮ Computing valuations of the Dieudonné determinants

Cites Work

• Centralizers in differential, pseudo-differential, and fractional differential operator rings
• Skew power series rings and derivations
• Local division algebras with perfect residue field of characteristic \(p>0\).
• Potenzbasiserweiterungen
• Centralisateurs d’operateurs pseudo-differentiels formels a coefficients constants
• Resultats de scindage pour certains anneaux de valuation discrete ou finie non commutatifs
• Anneaux De Valuation Discrete Complets non Commutatifs
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