18 citations · 81 across the 14 of their papers we have counts for
44 papers
Central extensions of axial algebras
Ivan Kaygorodov, Cándido Martín González, Pilar Páez-Guillán
In this article, we develop a further adaptation of the method of Skjelbred-Sund to construct central extensions of axial algebras. We use our method to prove that all axial centra…
The algebraic and geometric classification of nilpotent weakly associative and symmetric Leibniz algebras
María Alejandra Alvarez, Ivan Kaygorodov
This paper is devoted to the complete algebraic and geometric classification of complex -dimensional nilpotent weakly associative, complex -dimensional symmetric Leibniz alge…
The algebraic classification of nilpotent commutative -algebras
Doston Jumaniyozov, Ivan Kaygorodov, Abror Khudoyberdiyev
An algebraic classification of complex -dimensional nilpotent commutative -algebras is given. This classification is based on an algebraic classification of compl…
Local and -local derivations of simple -ary algebras
Bruno Leonardo Macedo Ferreira, Ivan Kaygorodov, Karimbergen Kudaybergenov
In the present paper, we prove that every local and -local derivation of the complex finite-dimensional simple Filippov algebra is a derivation. As a corollary we have the descr…
The algebraic and geometric classification of nilpotent right alternative algebras
Nurlan Ismailov, Ivan Kaygorodov, Manat Mustafa
We present algebraic and geometric classifications of the -dimensional complex nilpotent right alternative algebras. Specifically, we find that, up to isomorphism, there are onl…
The algebraic and geometric classification of nilpotent left-symmetric algebras
Jobir Adashev, Ivan Kaygorodov, Abror Khudoyberdiyev +1
This paper is devoted to the complete algebraic and geometric classification of complex -dimensional nilpotent left-symmetric algebras. The corresponding geometric variety has d…