3 papers
math.RA2024
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…
math.RA2024
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…
math.RT2024
Decompositions of linear operators on pre-euclidean spaces by means of graphs
Hani Abdelwahab, Elisabete Barreiro, Antonio J. Calderón +1
In this work we study a linear operator on a pre-euclidean space by using properties of a corresponding graph. Given a basis $\B$ of , we present a d…