Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2021; 36(3): 413-422

Online first article March 11, 2021      Printed July 31, 2021

https://doi.org/10.4134/CKMS.c200256

Copyright © The Korean Mathematical Society.

A relationship between Cayley-Dickson process and the generalized Study determinant

Pritta Etriana Putri, Laurence Petrus Wijaya

Institut Teknologi Bandung; Institut Teknologi Bandung

Abstract

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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.

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