Author:
Drazin M. P.,Gruenberg K. W.
Abstract
Let R be an arbitrary associative ring, and X a set of generators of R. The elements of X generate a Lie ring, [X], say, with respect to the addition and subtraction in R, and the multiplication [a, b] = ab − ba. In this note we shall be concerned with the following question: if [X] is given to be nilpotent as a Lie ring, what does this imply about R?
Publisher
Cambridge University Press (CUP)
Cited by
1 articles.
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1. Triangular representations of linear algebras;Mathematical Proceedings of the Cambridge Philosophical Society;1953-10