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Communications in Algebra Volume 29, 2001 - Issue 9
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Original Articles

VALUATIONS ON QUANTUM DIVISION RINGS

Vyacheslav A. Artamonov Department of Algebra, Faculty of Mechanics and Mathematics, Moscow state university, Moscow, 119899, Russia
Pages 3889-3904 | Received 01 Feb 2001, Published online: 01 Feb 2007
 
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Abstract

In the paper we determine all valuation on division rings of quantum polynomial rings (quantum fields). Furthermore we consider completions of quantum fields with respect to maximal valuations and study their automorphism groups and derivations.

ACKNOWLEDGMENT

Research partially supported by Grants RFFI 99-01-00382, 00-15-96128, Program “Universities of Russia”-5527.

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