Article ID Journal Published Year Pages File Type
6414785 Journal of Algebra 2014 8 Pages PDF
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
, ,