73 citations · 1.5k across the 132 of their papers we have counts for
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Quasi-derivations of Witt and related algebras
Ivan Kaygorodov, Abror Khudoyberdiyev, Zarina Shermatova
In the present work, we compute quasi-derivations of the Witt algebra and some algebras well-related to the Witt algebra. Namely, we prove that each quasi-derivation of the Witt al…
The complete classification of irreducible components of varieties of Jordan superalgebras
Renato Fehlberg Júnior, Ivan Kaygorodov, Azamat Saydaliyev
The aim of the present short note is to answer the open questions posted by Hernández, Martin, and Rodrigues in {\rm \cite{p1,p2}}. The obtained results give the complete classific…
-Novikov and -Novikov--Poisson algebras
Ivan Kaygorodov
This article considers the structure and properties of -Novikov algebras, a generalization of Novikov algebras characterized by a scalar parameter . Unlike Novikov algebras,…
Nonassociative algebras of anti-biderivation-type
Saïd Benayadi, Said Boulmane, Ivan Kaygorodov
The main purpose of this paper is to study the class of Jacobi-Jordan-admissible algebras whose product is an anti-biderivation of the related Jacobi-Jordan algebra; we call them $…
Polynomial invariants for 3-dimensional Leibniz algebras
Ivan Kaygorodov, Artem Lopatin
For each 3-dimensional non-Lie Leibniz algebra over the complex numbers, we describe the algebra of polynomial invariants and determine its group of automorphisms. As a consequence…
The algebraic and geometric classification of right alternative and semi-alternative algebras
Hani Abdelwahab, Ivan Kaygorodov, Roman Lubkov
The algebraic and geometric classifications of complex -dimensional right alternative and semi-alternative algebras are given. As corollaries, we have the algebraic and geometri…