On solvability of lie rings with an automorphism of finite order

Khukhro, E. I. (2001) On solvability of lie rings with an automorphism of finite order. Siberian Mathematical Journal, 42 (5). pp. 996-1000. ISSN 0037-4466

Full content URL: http://dx.doi.org/10.1023/A:1011936231858

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Item Type:Article
Item Status:Live Archive

Abstract

A new criterion for a Lie ring with a semisimple automorphism of finite order to be solvable is proved. It generalizes the effective version of Winter's criterion obtained earlier by Khukhro and Shumyatsky and by Bergen and Grzeszczuk in replacing the ideal generated by a certain set by the subring generated by this set. The proof is inspired by the original theorem of Kreknin on solvability of Lie rings with regular automorphisms of finite order and is conducted mostly in terms of Lie rings graded by a finite cyclic group.

Keywords:Algebra
Subjects:G Mathematical and Computer Sciences > G100 Mathematics
Divisions:College of Science > School of Mathematics and Physics
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ID Code:15720
Deposited On:19 Nov 2014 16:01

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