Hypercentral and Monic Automorphisms of Classical Algebras, Rings and Groups
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 1 (2008) no. 4, pp. 380-390

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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.
Keywords: free associative algebra, finitary Chevalley group, unipotent subgroup, associated Lie ring, Jordan ring
Mots-clés : polynomial algebra, automorphism.
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Chander K. Gupta; Vladimir M. Levchuk; Yurij Yu. Ushakov. Hypercentral and Monic Automorphisms of Classical Algebras, Rings and Groups. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 1 (2008) no. 4, pp. 380-390. http://geodesic.mathdoc.fr/item/JSFU_2008_1_4_a2/