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Журнал Сибирского федерального университета. Серия «Математика и физика», 2008, том 1, выпуск 4, страницы 380–390
(Mi jsfu38)
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Эта публикация цитируется в 7 научных статьях (всего в 7 статьях)
Hypercentral and Monic Automorphisms of Classical Algebras, Rings and Groups
Chander K. Guptaa, Vladimir M. Levchukb, Yurij Yu. Ushakovb a Department of Mathematics, University of Manitoba, Winnipeg, Canada
b Institute of Mathematics, Siberian Federal University
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.
Ключевые слова:
free associative algebra, polynomial algebra, finitary Chevalley group, unipotent subgroup, associated Lie ring, Jordan ring, automorphism.
Получена: 10.09.2008 Принята: 15.11.2008
Образец цитирования:
Chander K. Gupta, Vladimir M. Levchuk, Yurij Yu. Ushakov, “Hypercentral and Monic Automorphisms of Classical Algebras, Rings and Groups”, Журн. СФУ. Сер. Матем. и физ., 1:4 (2008), 380–390
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jsfu38 https://www.mathnet.ru/rus/jsfu/v1/i4/p380
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