2 papers
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…
math.RA2020
The Nagata automorphism of free nonassociative algebras of rank two over Eucledean domains
Alibek Alimbaev, Ualbai Umirbaev
We construct an analogue of the Nagata automorphism of free nonassociative algebras and free commutative algebras of rank two over a Euclidean domain and prove that it is wild.