COMPLETELY INVARIANT SUBSPACES OF FREE ALGEBRAS

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COMPLETELY INVARIANT SUBSPACES OF FREE ALGEBRAS N.G. Najaryan

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.

DOI: 10.46991/PYSUA.2011.45.1.064 Physical and Mathematical Sciences, 45(1 (224) 64-65

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Keywords

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

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