1 citations · 2 across the 3 of their papers we have counts for
11 papers
-Poisson and transposed -Poisson algebras
Hani Abdelwahab, Ivan Kaygorodov, Bauyrzhan Sartayev
We present a comprehensive study of two new Poisson-type algebras. Namely, we are working with -Poisson and transposed -Poisson algebras. Our research shows that these algebr…
The algebraic and geometric classification of -Novikov algebras
Hani Abdelwahab, Ivan Kaygorodov, Roman Lubkov
The notion of -Novikov algebras was introduced recently as a generalization of Novikov and bicommutative algebras. It looks like -Novikov algebras have a richer structure t…
The algebraic and geometric classification of noncommutative Jordan superalgebras
Hani Abdelwahab, Ivan Kaygorodov, Abror Khudoyberdiyev
The algebraic and geometric classifications of complex -dimensional noncommutative Jordan superalgebras are given. In particular, we obtain the algebraic and geometric classific…
The algebraic and geometric classification of commutative post-Lie algebras
Hani Abdelwahab, Kobiljon Abdurasulov, Ivan Kaygorodov
We study commutative post-Lie algebras {\rm CPA}s from an algebraic point of view. Firstly, we find some new identities in {\rm CPA}, which shows that the commutative multipl…
The algebraic and geometric classification of right alternative superalgebras
Hani Abdelwahab, Ivan Kaygorodov, Abror Khudoyberdiyev
The algebraic and geometric classifications of complex -dimensional right alternative superalgebras are given. As a byproduct, we have the algebraic and geometric classification…
The algebraic and geometric classification of derived Jordan and bicommutative algebras
Hani Abdelwahab, Ivan Kaygorodov, Roman Lubkov
We developed a new proper method for classifying -dimensional derived Jordan algebras, and apply it to the classification of -dimensional derived Jordan algebras. As a byprod…