A Relationship Between Cayley-Dickson Process and The Generalized Study Determinant
Commun. Korean Math. Soc. Published online March 11, 2021
Pritta Etriana Putri and Laurence Petrus Wijaya
Institut Teknologi Bandung
Abstract : Study determinant is known as one of the replacements for the determinant of matrices with entries in a noncommutative ring. In this paper, we give a generalization of Study determinant and show its relationship with the Cayley-Dickson process. We also give some properties of a non-associative ring obtained by the Cayley-Dickson process with a not necessarily commutative, but associative ring as the initial ring.
Keywords : Cayley-Dickson Process, Study Determinant, Involutive anti-automorphism ring.