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Certain Submodules of Simple Rings with Involution, II

Published online by Cambridge University Press:  20 November 2018

I. N. Herstein
I. N. Herstein*
Affiliation:
University of Chicago, Chicago, Illinois
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Let R be a simple ring, of characteristic not 2, having an involution *. Let 5 = ﹛x G R|x* = x﹜ and K = ﹛x £ R|x* = — x﹜ be the set of symmetric and skew elements, respectively, of R.

In [1] we discuss the structure of S as a Jordan ring and K as a Lie ring. In [2] we considered cross-over submodules, namely additive subgroups U ⊂ K, V ⊂ S such that

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 3 , 01 June 1975 , pp. 629 - 635
Copyright
Copyright © Canadian Mathematical Society 1975

References

1. Herstein, I. N., Topics in ring theory (University of Chicago Press, Chicago, 1969).Google Scholar
2. Herstein, I. N., Certain submodules in simple rings with involution, Duke Math. J. 2J+ (1957), 357–364.Google Scholar
3. Herstein, I. N., unitary version of the Brauer-Cartan-Hua Theorem (to appear).Google Scholar