8 citations · 13 across the 5 of their papers we have counts for
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Eigentheory of Cayley-Dickson algebras
Daniel K. Biss, J. Daniel Christensen, Daniel Dugger +1
We show how eigentheory clarifies many algebraic properties of Cayley-Dickson algebras. These notes are intended as background material for those who are studying this eigentheory…
Large annihilators in Cayley-Dickson algebras II
Daniel K. Biss, J. Daniel Christensen, Daniel Dugger +1
We establish many previously unknown properties of zero-divisors in Cayley-Dickson algebras. The basic approach is to use a certain splitting that simplifies computations surprisin…
Large annihilators in Cayley-Dickson algebras
Daniel K. Biss, Daniel Dugger, Daniel C. Isaksen
Cayley-Dickson algebras are an infinite sequence of non-associative algebras starting with the reals, complexes, quaternions, and octonions. We study the zero-divisors in the highe…