Engel algebra
From Encyclopedia of Mathematics
An associative algebra or Lie algebra $\mathfrak{g}$ satisfying the Engel condition: For every $X \in \mathfrak{g}$ the inner derivation $\mathrm{ad}\,X$ (cf. Derivation in a ring) is nilpotent. In other words, all elements of an Engel algebra are Engel elements, 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
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