Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-19T09:51:06.791Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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