VALUATIONS ON QUANTUM DIVISION RINGS

DOI10.1081/AGB-100105979zbMath1003.16009OpenAlexW2051009384MaRDI QIDQ5890425

Vyacheslav A. Artamonov

Publication date: 30 October 2002

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

Full work available at URL: https://doi.org/10.1081/agb-100105979

zbMATH Keywords

derivationsautomorphismsvaluationscompletionsquantum polynomial ringsquantum division ringsquantum Laurent polynomial rings

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) 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)

Related Items

Rigidity of quantum tori and the Andruskiewitsch-Dumas conjecture, Generalized derivations of a quantum plane., Algebra. Transl. from the Russian, Actions of Hopf algebras on general quantum Mal'tsev power series and quantum planes., Jordanian plane.

Cites Work

• Automorphisms of the skew field of rational quantum functions
• Crossed Products and Multiplicative Analogues of Weyl Algebras
• Quantum $n$-space as a quotient of classical $n$-space
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