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math.RA2008
The Freiheitssatz and the automorphisms of free right-symmetric algebras
Daniyar Kozybaev, Leonid Makar-Limanov, Ualbai Umirbaev
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 tw…
math.RA2008
Automorphisms of elliptic Poisson algebras
Leonid Makar-Limanov, Umut Turusbekova, Ualbai Umirbaev
We describe the automorphism groups of elliptic Poisson algebras on polynomial algebras in three variables and give an explicit set of generators and defining relations for this gr…