12 citations · 32 across the 20 of their papers we have counts for
21 papers
Automorphisms of Veronese subalgebras of polynomial algebras and free Poisson algebras
Bakhyt Aitzhanova, Leonid Makar-Limanov, Ualbai Umirbaev
The Veronese subalgebra of degree of the polynomial algebra over a field in the variables is the subalgebra of $A…
On the Newton polytope of a Jacobian pair
Leonid Makar-Limanov
The Newton polytope related to a ``minimal" counterexample to the Jacobian conjecture is introduced and described. This description allows to obtain a sharper estimate for the geom…
Centralizers of Rank One in the First Weyl Algebra
Leonid Makar-Limanov
Centralizers of rank one in the first Weyl algebra have genus zero.
Locally Nilpotent Derivations of Free Algebra of Rank Two
Vesselin Drensky, Leonid Makar-Limanov
In commutative algebra, if is a locally nilpotent derivation of the polynomial algebra over a field of characteristic 0 and is a nonzero element of…
The Freiheitssatz for Generic Poisson Algebras
Pavel S. Kolesnikov, Leonid G. Makar-Limanov, Ivan P. Shestakov
We prove the Freiheitssatz for the variety of generic Poisson algebras.
A new proof of the Abhyankar-Moh-Suzuki Theorem
Leonid Makar-Limanov
This note contains a complete proof of the Abhyankar-Moh-Suzuki theorem (in characteristic zero case).