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math.RA2025
Chein Automorphisms of Free Metabelian Anticommutative Algebras
Ruslan Nauryzbaev, Ivan Shestakov, Ualbai Umirbaev
We describe all automorphisms of a free metabelian anticommutative algebra of rank over a field that move only one variable while fixing the others. Such automorphism…
math.RA2020
On the automorphisms of a free Lie algebra of rank 3 over an integral domain
Alibek Alimbaev, Ruslan Nauryzbaev, Ualbai Umirbaev
We prove that the group of tame automorphisms of a free Lie algebra (as well as of a free anticommutative algebra) rank 3 over an arbitrary integral domain has the structure of an…