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Details for article 5 of 32 found articles
| Title: |
A Valuation Theory for Nonassociative Quaternion Algebras |
| Author: |
Kauta, John S. |
| Appeared in: |
Communications in algebra |
| Paging: | Volume 35 (2007) nr. 11 pages 3566-3589 |
| Year: |
2007-11 |
| Contents: |
A nonassociative quaternion algebra over a field F is a 4-dimensional F-algebra 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 non-negative 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 F-automorphisms of A. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 5 of 32 found articles
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