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http://dx.doi.org/10.4134/CKMS.c200256

A RELATIONSHIP BETWEEN CAYLEY-DICKSON PROCESS AND THE GENERALIZED STUDY DETERMINANT  

Putri, Pritta Etriana (Combinatorial Mathematics Research Group Faculty of Mathematics and Natural Sciences Institut Teknologi Bandung)
Wijaya, Laurence Petrus (Department of Mathematics Faculty of Mathematics and Natural Sciences Institut Teknologi Bandung)
Publication Information
Communications of the Korean Mathematical Society / v.36, no.3, 2021 , pp. 413-422 More about this Journal
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;
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