Abstract
We consider the class of algebras of rank 4 equipped with a standard involution over an arbitrary base ring. In particular, we characterize quaternion rings, those algebras defined by the construction of the even Clifford algebra.
Managing Editor: Weissauer, Rainer
Ed. by Colding, Tobias / Cuntz, Joachim / Huybrechts, Daniel / Hwang, Jun-Muk
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Characterizing quaternion rings over an arbitrary base
1Department of Mathematics and Statistics, University of Vermont, 16 Colchester Ave, Burlington, VT 05401, USA
Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal). Volume 2011, Issue 657, Pages 113–134, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/crelle.2011.054, March 2011
Publication History:
- Received:
- 2009-07-16
- Revised:
- 2010-03-25
- Published Online:
- 2011-03-15
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