Журнал СФУ. Математика и физика / Hypercentral and Monic Automorphisms of Classical Algebras, Rings and Groups

Полный текст (.pdf)
Номер
Журнал СФУ. Математика и физика. 2008 1 (4)
Авторы
Gupta, Chander K.; Levchuk, Vladimir M.; Ushakov, Yurij Yu.
Контактная информация
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: , ;
Ключевые слова
free associative algebra; polynomial algebra; finitary Chevalley group; unipotent subgroup; associated Lie ring; Jordan ring; automorphism
Аннотация

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.

Страницы
380-390
Статья в архиве электронных ресурсов СФУ
https://elib.sfu-kras.ru/handle/2311/821