A relationship between Cayley-Dickson process and the generalized Study determinant
Commun. Korean Math. Soc. 2021 Vol. 36, No. 3, 413-422 https://doi.org/10.4134/CKMS.c200256 Published online March 11, 2021 Printed July 31, 2021
Pritta Etriana Putri, Laurence Petrus Wijaya Institut Teknologi Bandung; Institut Teknologi Bandung
Abstract : The Study determinant is known as one of replacements for the determinant of matrices with entries in a noncommutative ring. In this paper, we give a generalization of the 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
MSC numbers : Primary 16W10, 15A15
Supported by : This work was full financially supported by Riset P3MI ITB 541O/I1.C01/PL/2020.
