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Conjugacy of Elements in a Normal Ring

Published online by Cambridge University Press:  20 November 2018

Taw-Pin Lim
Taw-Pin Lim*
Affiliation:
60 Underhill Drive #410 Don Mills, Ontario M3A 2J7, Canada
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Let (R, *) be a ring R with an involution *, i.e., * is a map RϵR such that for all a, bϵR

The trace and norm of an element a in (R, *) are respectively

(R, *) is said to be a normal ring if for all aϵR

or equivalently,

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 20 , Issue 1 , 01 March 1977 , pp. 113 - 115
Copyright
Copyright © Canadian Mathematical Society 1977

References

1. Dyson, F. J., Quaternion Determinants, Helvetica Physica Acta, Vol. 45 (1972), 289-302.Google Scholar
2. Maxwell, G., Algebras of Normal Matrices, Pacific Jour, of Math., Vol. 43, No.2 (1972). 421-428.Google Scholar