22 citations · 25 across the 4 of their papers we have counts for
6 papers · 1 filter
Shift associative algebras
Hani Abdelwahab, Ivan Kaygorodov, Bauyrzhan Sartayev
We present a comprehensive study of algebras satisfying the identity named as shift associative algebras. Our research shows that these algebras are related to many…
Transposed Poisson structures on Virasoro-type algebras
Ivan Kaygorodov, Abror Khudoyberdiyev, Zarina Shermatova
We compute -derivations on the deformed generalized Heisenberg-Virasoro algebras and on not-finitely graded Heisenberg-Virasoro algebras , $\widetild…
Degenerations of Poisson-type algebras
Hani Abdelwahab, Amir Fernández Ouaridi, Ivan Kaygorodov
The degenerations of Poisson-type algebras are studied in the following varieties in dimension two: Leibniz--Poisson algebras, transposed Leibniz--Poisson algebras, Novikov--Poisso…
The algebraic classification of nilpotent Novikov algebras
Kobiljon Abdurasulov, Ivan Kaygorodov, Abror Khudoyberdiyev
This paper is devoted to the complete algebraic classification of complex -dimensional nilpotent Novikov algebras.
The algebraic and geometric classification of transposed Poisson algebras
Patrícia Damas Beites, Amir Fernández Ouaridi, Ivan Kaygorodov
The algebraic and geometric classification of all complex -dimensional transposed Poisson algebras is obtained. Also, we discuss strong special -dimensional transposed Poisso…
Zinbiel superalgebras
Luisa María Camacho, Amir Fernández Ouaridi, Ivan Kaygorodov +1
Throughout the current paper, we extend the study of Zinbiel algebras to Zinbiel superalgebras. In particular, we show that all the Zinbiel superalgebras over an arbitrary field ar…