2011; Physical and Mathematical Sciences, 45(1 (224): 64–65
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COMPLETELY INVARIANT SUBSPACES OF FREE ALGEBRAS

N.G. Najaryan*

Received: 2025-02-22 · Published: 2011-02-16

© 2011 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
COMPLETELY INVARIANT SUBSPACES OF FREE ALGEBRAS
Author
N.G. Najaryan
Published
2011-02-16
Licence
Creative Commons Attribution 4.0 International

Abstract

A structural theorem is proved for pMqBM completely invariant subspaces of free associative algebras with a unit, having a countable number of free variables over the field of characteristic zero. In particular, it is shown that such spaces contain a Lie nilpotent polynomial.
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