Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4582585 | Expositiones Mathematicae | 2007 | 7 Pages |
Abstract
This paper is a revision of a portion of the author's doctoral dissertation submitted to the University of Oregon. Using elementary concepts of KK-theory, the Brouwer degree of the power map in the octonions is computed. Later, a proof of a weaker version of the fundamental theorem of algebra for polynomials with coefficients in the octonions is given. As a partial complement, a lower bound to the number of solutions of a homogeneous monomial equation over the octonions is obtained.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Hugo Rodríguez-Ordóñez,