7 citations · 7 across the 3 of their papers we have counts for
3 papers
math.RA2021
On the Lie-solvability of Novikov algebras
Kaisar Tulenbaev, Ualbai Umirbaev, Viktor Zhelyabin
We prove that any Novikov algebra over a field of characteristic is Lie-solvable if and only if its commutator ideal is right nilpotent. We also construct examples…
math.RA2010★ 7 cited
New Examples of Simple Jordan Superalgebras over an Arbitrary Field of Characteristic Zero
V. N. Zhelyabin
I.P. Shestakov constructed an example of a unital simple special Jordan superalgebra over the field of real numbers. It turned out to be a subsuperalgebra of the Jordan superalgebr…
math.RA2010
The Kantor-Koecher-Tits Construction for Jordan Coalgebras
V. N. Zhelyabin
The relationship between Jordan and Lie coalgebras is established. We prove that from any Jordan coalgebra , it is possible to construct a Lie coalgebra $\lang…