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- Title
Towards a Generalized Cayley–Dickson Construction through Involutive Dimagmas.
- Authors
Martins-Ferreira, Nelson; Perdigão, Rui A. P.
- Abstract
A generalized construction procedure for algebraic number systems is hereby presented. This procedure offers an efficient representation and computation method for complex numbers, quaternions, and other algebraic structures. The construction method is then illustrated across a range of examples. In particular, the novel developments reported herein provide a generalized form of the Cayley–Dickson construction through involutive dimagmas, thereby allowing for the treatment of more general spaces other than vector spaces, which underlie the associated algebra structure.
- Subjects
ALGEBRAIC numbers; NUMBER systems; CAYLEY graphs; VECTOR spaces; QUATERNIONS; ALGEBRA
- Publication
Mathematics (2227-7390), 2024, Vol 12, Issue 7, p996
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math12070996