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Engel algebra

From Encyclopedia of Mathematics
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An associative algebra or Lie algebra satisfying the Engel condition: For every the inner derivation (cf. Derivation in a ring) is nilpotent. In other words, all elements of an Engel algebra are Engel elements (cf. Engel element, see also Lie algebra, nil).

How to Cite This Entry:
Engel algebra. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Engel_algebra&oldid=39421
This article was adapted from an original article by Yu.A. Bakhturin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article