Article ID Journal Published Year Pages File Type
4582585 Expositiones Mathematicae 2007 7 Pages PDF
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
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