Geodesic
Completely invariant subspaces of free algebras
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2011), pp. 64-65

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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, Lie nilpotent polynomial.
Mots-clés : endomorphism, invariant space, module 
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N. G. Nadzharyan. Completely invariant subspaces of free algebras. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2011), pp. 64-65. http://geodesic.mathdoc.fr/item/UZERU_2011_1_a11/