Eigentheory of Cayley-Dickson algebras (2009)
Biss, Daniel K., Christensen, J. Daniel, Dugger, Daniel, Isaksen, Daniel C.
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 more closely.
EIGENTHEORY OF CAYLEY-DICKSON ALGEBRAS (2009)
Daniel K. Biss, J. Daniel Christensen, Daniel Dugger, C. Isaksen
Abstract. 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 more...
Large annihilators in Cayley-Dickson algebras (2009)
Daniel K. Biss, J. Daniel Christensen, Daniel Dugger, C. Isaksen
Abstract. 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 surprisingly. 1.
Large annihilators in Cayley-Dickson algebras (2008)
Daniel K. Biss, Daniel Dugger, C. Isaksen
Abstract. Cayley-Dickson algebras are non-associative R-algebras that generalize the well-known algebras R, C, H, and O. We study zero-divisors in these algebras. In particular, we show that the...
Large annihilators in Cayley-Dickson algebras II (2007)
Biss, Daniel K., Christensen, J. Daniel, Dugger, Daniel, Isaksen, Daniel C.
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 surprisingly.
Large annihilators in Cayley-Dickson algebras (2005)
Biss, Daniel K., Dugger, Daniel, Isaksen, Daniel C.
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 higher Cayley-Dickson...
on A Presentation for the Unipotent Group over Rings with Identity (2000)
Daniel K. Biss, Samit Dasgupta, Communicated Walter Feit
For a ring R with identity, define Unip Ž R. n to be the group of upper-triangular matrices over R all of whose diagonal entries are 1. For i � 1, 2,..., n � 1, let Si denote the matrix whose...