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Rings with Involution and Polynomial Identities

Published online by Cambridge University Press:  20 November 2018

W. E. Baxter  and
W. S. Martindale III
W. E. Baxter
Affiliation:
University of Delaware, and University of Massachusetts
W. S. Martindale III
Affiliation:
University of Delaware, and University of Massachusetts
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An involution * of a ring A is a one-one additive mapping of A onto itself such that (xy)* = y*x* and x** = x for all x, y ∊ A. If A is an algebra over a field Φ, one makes the additional requirement that (λx)* = λx* for all λ ∊ Φ, x ∊ A. S will generally denote the set of symmetric elements s* = s, K the set of skew elements , and Z the centre of A.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 20 , 1968 , pp. 465 - 473
Copyright
Copyright © Canadian Mathematical Society 1968

References

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