7 citations · 13 across the 5 of their papers we have counts for
5 papers
Just-infinite Jordan Banach algebras
Victor Zhelyabin, Andrey Mamontov
By analogy with the well-established notions of just-infinite groups and just-infinite algebras, in particular -algebras, we initiate a study of just-infinite -algebras, i…
Radicals in primitive axial algebras
Andrey Mamontov, Sergey Shpectorov, Victor Zhelyabin
The paper contributes to the structure theory of primitive axial algebras. For a primitive axial algebra with a Frobenius form we compare the largest ideal not containin…
-superderivations of KKM Double
Ivan Kaygorodov, Victor N. Zhelyabin
We described -derivations and -superderivations of simple Jordan superalgebra <<KKM Double>> (also known as superalgebra of Jordan brackets) and unital simple finite-dimensio…
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…
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…