COMPLETELY INVARIANT SUBSPACES OF FREE ALGEBRAS

Najaryan Najaryan

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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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COMPLETELY INVARIANT SUBSPACES OF FREE ALGEBRAS

Abstract

Author(s)

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COMPLETELY INVARIANT SUBSPACES OF FREE ALGEBRAS

Abstract

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