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arXiv · 0807.0608

The Freiheitssatz and the automorphisms of free right-symmetric algebras

Daniyar Kozybaev·Leonid Makar-Limanov·Ualbai Umirbaev
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Abstract

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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Daniyar Kozybaev, Leonid Makar-Limanov, Ualbai Umirbaev. 2008-07-03. The Freiheitssatz and the automorphisms of free right-symmetric algebras. https://arxiv.org/abs/0807.0608

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