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On Involutions of Quasi-Division Algebras

Published online by Cambridge University Press:  20 November 2018

Lowell Sweet
Lowell Sweet*
Affiliation:
University of Prince Edward Island, Charlottetown, P.E.I.
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All algebras are assumed to be finite dimensional and not necessarily associative. An involution of an algebra is an algebra automorphism of order two. A quasi-division algebra is any algebra in which the non-zero elements form a quasi-group under multiplication. The purpose of this short paper is to determine the structure of all involutions of quasi-division algebras and to give an application of this result.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 5 , February 1975 , pp. 723 - 725
Copyright
Copyright © Canadian Mathematical Society 1975

References

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