Free Algebras and the Freiheitssatz
نویسنده
چکیده
We prove the Freiheitssatz for free associative algebras over any field. This extends the previous result of Marker-Limanov and immediately implies the Freiheitssatz for free restricted Lie algebras and free Lie algebras. We prove the Freiheitssatz for free Poisson algebras over a field of characteristic zero. This answers a question of MarkerLimanov and Umirbaev in the affirmative.
منابع مشابه
The Freiheitssatz and the Automorphisms of Free Right-symmetric Algebras
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