3 papers
math.RA2021
Some examples of nonassociative coalgebras and supercoalgebras
Daniyar Kozybaev, Ualbai Umirbaev, Viktor Zhelyabin
Locally finiteness of some varieties of nonassociative coalgebras is studied and the Gelfand-Dorfman construction for Novikov coalgebras and the Kantor construction for Jordan supe…
math.RA2015
Identities of the left-symmetric Witt algebras
Daniyar Kozybaev, Ualbai Umirbaev
Let be the polynomial algebra over a field of characteristic zero in the variables and be the left-symmetric Wi…
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…