4 citations · 6 across the 2 of their papers we have counts for
8 papers
The geometric classification of nilpotent -algebras
Ivan Kaygorodov, Mykola Khrypchenko
We give a geometric classification of complex -dimensional nilpotent -algebras. The corresponding geometric variety has dimension 18 and decomposes into irred…
The algebraic and geometric classification of nilpotent anticommutative algebras
Ivan Kaygorodov, Mykola Khrypchenko, Samuel A. Lopes
We give algebraic and geometric classifications of -dimensional complex nilpotent anticommutative algebras. Specifically, we find that, up to isomorphism, there are one-par…
The third partial cohomology group and existence of extensions of semilattices of groups by groups
Mikhailo Dokuchaev, Mykola Khrypchenko, Mayumi Makuta
We introduce the concept of a partial abstract kernel associated to a group G and a semilattice of groups A and relate the partial cohomology group H^3(G,C(A)) with the obstruction…
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
Globalization of group cohomology in the sense of Alvares-Alves-Redondo
Mikhailo Dokuchaev, Mykola Khrypchenko, Juan Jacobo Simón
Recently E. R. Alvares, M. M. Alves and M. J. Redondo introduced a cohomology for a group with values in a module over the partial group algebra , which is…
The algebraic classification of nilpotent Tortkara algebras
Ilya Gorshkov, Ivan Kaygorodov, Mykola Khrypchenko
We classify all -dimensional nilpotent Tortkara algebras over