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Primitive elements of free nonassociative algebras

✍ Scribed by A. A. Mikhalev; A. V. Mikhalev; A. A. Chepovskiy; K. Champagnier

Publisher
Springer US
Year
2009
Tongue
English
Weight
236 KB
Volume
156
Category
Article
ISSN
1573-8795

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Free Akivis Algebras, Primitive Elements
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✍ Ivan P. Shestakov; Ualbai U. Umirbaev πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 129 KB

Free Akivis algebras and primitive elements in their universal enveloping algebras are investigated. It is proved that subalgebras of free Akivis algebras are free and that finitely generated subalgebras are finitely residual. Decidability of the word problem for the variety of Akivis algebras is al