COMPLETELY INVARIANT SUBSPACES OF FREE ALGEBRAS

N.G. Najaryan

doi:10.46991/PYSU:A/2011.45.1.064

COMPLETELY INVARIANT SUBSPACES OF FREE ALGEBRAS

Authors

N.G. Najaryan Chair of Mathematics of Radio Physics Faculty, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2011.45.1.064

Keywords:

free algebra, T-ideals, linear space, endomorphism, invariant space, module

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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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