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The Freiheitssatz and the automorphisms of free right-symmetric algebras

Daniyar Kozybaev, Leonid Makar-Limanov, Ualbai Umirbaev
Arxiv ID: 0807.0608Last updated: 1/3/2020
We prove the Freiheitssatz for right-symmetric algebras and the decidability of the word problem for right-symmetric algebras with a single defining relation. We also prove that two generated subalgebras of free right-symmetric algebras are free and automorphisms of two generated free right-symmetric algebras are tame.

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