Journal of Siberian Federal University. Mathematics & Physics / Hypercentral and Monic Automorphisms of Classical Algebras, Rings and Groups

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2008 1 (4)
Authors
Gupta, Chander K.; Levchuk, Vladimir M.; Ushakov, Yurij Yu.
Contact information
Chander K.Gupta: Department of Mathematics, University of Manitoba, Winnipeg, Canada, e-mail: ; Vladimir M.Levchuky, Yurij Yu.Ushakovz: Institute of Mathematics, Siberian Federal University, Svobodny 79, Krasnoyarsk, 660041 Russia, e-mail: , ;
Keywords
free associative algebra; polynomial algebra; finitary Chevalley group; unipotent subgroup; associated Lie ring; Jordan ring; automorphism
Abstract

Up to standard multipliers all non-standard automorphisms of free associative algebras and polynomial algebras are reduced to monic automorphisms of the maximal ideal, which are studied in the present paper. For non-standard automorphisms of some locally nilpotent matrix groups and rings it has turned out to be more efficient to use hypercentral automorphisms.

Pages
380-390
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/821