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.
Mots-clés : polynomial algebra, automorphism.
@article{JSFU_2008_1_4_a2,
author = {Chander K. Gupta and Vladimir M. Levchuk and Yurij Yu. Ushakov},
title = {Hypercentral and {Monic} {Automorphisms} of {Classical} {Algebras,} {Rings} and {Groups}},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {380--390},
publisher = {mathdoc},
volume = {1},
number = {4},
year = {2008},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JSFU_2008_1_4_a2/}
}
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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/