1 citations · 3 across the 4 of their papers we have counts for
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On Jordan algebras that are factors of Matsuo algebras
Ilya Gorshkov, Andrey Mamontov, Alexey Staroletov
We describe all finite connected 3-transposition groups whose Matsuo algebras have nontrivial factors that are Jordan algebras. As a corollary, we show that if F is a field of char…
On primitive -generated axial algebras of Jordan type
Ilya Gorshkov, Alexey Staroletov
Axial algebras of Jordan type are commutative algebras generated by idempotents whose adjoint operators have the minimal polynomial dividing , where $η\not\in\{0,1…
The geometric classification of nilpotent Tortkara algebras
Ilya Gorshkov, Ivan Kaygorodov, Mykola Khrypchenko
We give a geometric classification of all -dimensional nilpotent Tortkara algebras over
The algebraic classification of nilpotent Tortkara algebras
Ilya Gorshkov, Ivan Kaygorodov, Mykola Khrypchenko
We classify all -dimensional nilpotent Tortkara algebras over