On associative algebras satisfying the Engel condition

Aner Shalev

doi:10.1007/BF02764947

On associative algebras satisfying the Engel condition

Aner Shalev^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

It is shown that every finitely generated associative algebra over a field of characteristic p>0 satisfying the Engel condition is Lie-nilpotent. It follows that the Engel condition is inherited from an algebra A to its group of units, U(A).

Original language	English
Pages (from-to)	287-290
Number of pages	4
Journal	Israel Journal of Mathematics
Volume	67
Issue number	3
DOIs	https://doi.org/10.1007/BF02764947
State	Published - Oct 1989

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title = "On associative algebras satisfying the Engel condition",

abstract = "It is shown that every finitely generated associative algebra over a field of characteristic p>0 satisfying the Engel condition is Lie-nilpotent. It follows that the Engel condition is inherited from an algebra A to its group of units, U(A).",

author = "Aner Shalev",

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On associative algebras satisfying the Engel condition

Abstract

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