A non-nilpotent Lie ring satisfying the Engel condition and a non-nilpotent Engel group
Published online by Cambridge University Press: 24 October 2008
Extract
Let L be a Lie ring and denote the product of x and y in L by [x, y]. The ring L is said to satisfy the Engel condition (cf. (1)), if for every pair of elements x, yεL there is an integer k = k(x, y)such that
If k(x, y) can be taken equal to a fixed integer n for all x, y ε L then L is said to satisfy the n-th Engel condition.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 51 , Issue 3 , July 1955 , pp. 401 - 405
- Copyright
- Copyright © Cambridge Philosophical Society 1955
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