Kauta, John S. (2007) A valuation theory for nonassociative quaternion algebras. Communications in Algebra, 35 (11). pp. 35663589. ISSN 00927872
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Abstract
A nonassociative quaternion algebra over a field F is a 4dimensional Falgebra A whose nucleus is a separable quadratic extension field of F. We define the notion of a valuation ring for A, and we also define a value function on A with values from a totally ordered group. We determine the structure of the set on which the function assumes nonnegative values and we prove that, given a valuation ring of A, there is a value function associated to it if and only if the valuation ring is integral and invariant under proper Fautomorphisms of A.
Item Type:  Journal Article 

Subjects:  Q Science > QA Mathematics 
Divisions:  Faculty of Science, Technology and Environment (FSTE) > School of Engineering and Physics 
Depositing User:  John Kauta 
Date Deposited:  05 Nov 2013 22:53 
Last Modified:  05 Nov 2013 22:53 
URI:  http://repository.usp.ac.fj/id/eprint/7013 
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