COMPLETELY INVARIANT SUBSPACES OF FREE ALGEBRAS
DOI:
https://doi.org/10.46991/PYSU:A/2011.45.1.064Keywords:
free algebra, T-ideals, linear space, endomorphism, invariant space, moduleAbstract
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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Published
2011-02-16
How to Cite
Najaryan, N. (2011). COMPLETELY INVARIANT SUBSPACES OF FREE ALGEBRAS. Proceedings of the YSU A: Physical and Mathematical Sciences, 45(1 (224), 64–65. https://doi.org/10.46991/PYSU:A/2011.45.1.064
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Short Communications
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Copyright (c) 2011 Proceedings of the YSU
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.