On Quantum Lie Nilpotency of Order 2

The paper investigates the free algebras of varieties of associative algebras modulo identities of quantum Lie nilpotency of order 1 and 2. Let q be an invertible element of the ground field K (or of its extension). The element[x,y]q = xy-qyxof the free associative algebra is called a quantum commut...

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Bibliographic Details
Main Author: E. A. Kireeva
Format: Article
Language:Russian
Published: MGTU im. N.È. Baumana 2017-01-01
Series:Matematika i Matematičeskoe Modelirovanie
Subjects:
Online Access:https://www.mathmelpub.ru/jour/article/view/44