Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6414785 | Journal of Algebra | 2014 | 8 Pages |
Abstract
We derive conditions on the integers q and r necessary and sufficient for the identity (aq+bq)r=(ar+br)q to hold over a finite field. As an application, we use the result to characterize all finite-dimensional near-vector spaces determined by an arbitrary finite field.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
K.-T. Howell, J.H. Meyer,