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Certain Submodules of Simple Rings with Involution, II

  • I. N. Herstein (a1)

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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 UK, VS such that

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References

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1. Herstein, I. N., Topics in ring theory (University of Chicago Press, Chicago, 1969).
2. Herstein, I. N., Certain submodules in simple rings with involution, Duke Math. J. 2J+ (1957), 357364.
3. Herstein, I. N., unitary version of the Brauer-Cartan-Hua Theorem (to appear).
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Certain Submodules of Simple Rings with Involution, II

  • I. N. Herstein (a1)

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