14 citations · 44 across the 30 of their papers we have counts for
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math.RA2023
On a variety of right-symmetric algebras
Nurlan Ismailov, Ualbai Umirbaev
We construct a finite-dimensional metabelian right-symmetric algebra over an arbitrary field that does not have a finite basis of identities.
math.RA2023
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…
math.RA2023
Representations via differential algebras and equationally Noetherian algebras
Alexander A. Mikhalev, Manat Mustafa, Ualbai Umirbaev
We show that free algebras of the variety of algebras generated by the Witt algebra , the left-symmetric Witt algebra , and the symplectic Poisson algebra can be de…