Certain Submodules of Simple Rings with Involution, II
Canadian journal of mathematics, Tome 27 (1975) no. 3, pp. 629-635
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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
Herstein, I. N. Certain Submodules of Simple Rings with Involution, II. Canadian journal of mathematics, Tome 27 (1975) no. 3, pp. 629-635. doi: 10.4153/CJM-1975-073-3
@article{10_4153_CJM_1975_073_3,
author = {Herstein, I. N.},
title = {Certain {Submodules} of {Simple} {Rings} with {Involution,} {II}},
journal = {Canadian journal of mathematics},
pages = {629--635},
year = {1975},
volume = {27},
number = {3},
doi = {10.4153/CJM-1975-073-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1975-073-3/}
}
[1] 1. Herstein, I. N., Topics in ring theory (University of Chicago Press, Chicago, 1969). Google Scholar
[2] 2. Herstein, I. N., Certain submodules in simple rings with involution, Duke Math. J. 2J+ (1957), 357–364. Google Scholar
[3] 3. Herstein, I. N., unitary version of the Brauer-Cartan-Hua Theorem (to appear). Google Scholar
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