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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2011, Issue 1, Pages 64–65 (Mi uzeru173)  
Communications
Mathematics

Completely invariant subspaces of free algebras

N. G. Nadzharyan

Chair of Higher Mathematics of Radiophysics Faculty YSU, Armenia
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Abstract: A structural theorem is proved for $\mathrm{pMqBM}$ 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.
Keywords: free algebra, $T$-ideals, linear space, endomorphism, invariant space, module, Lie nilpotent polynomial.
Received: 12.04.2010
Accepted: 30.06.2010
Document Type: Article
Language: English
Citation: N. G. Nadzharyan, “Completely invariant subspaces of free algebras”, Proceedings of the YSU, Physical and Mathematical Sciences, 2011, no. 1, 64–65
Citation in format AMSBIB
\Bibitem{Nad11}
\by N.~G.~Nadzharyan
\paper Completely invariant subspaces of free algebras
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2011
\issue 1
\pages 64--65
\mathnet{http://mi.mathnet.ru/uzeru173}
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