$σ$-matching and interchangeable structures on truncated polynomial algebras
We describe $σ$-matching, interchangeable and, as a consequence, totally compatible products on truncated polynomial algebras.
math.RA↗
arXiv subjects
Feruza Toshtemirova
Publications and source records attributed to Feruza Toshtemirova.
The geometric classification of nilpotent Lie-Yamaguti, Bol and compatible Lie algebras
The geometric classifications of complex $4$-dimensional nilpotent Lie-Yamaguti algebras, $4$-dimensional nilpotent Bol algebras, and $4$-dimensional nilpotent compatible Lie algebras are given.
math.RA↗
Transposed $δ$-Poisson algebra structures on null-filiform associative algebras
In this paper, we consider transposed $δ$-Poisson algebras, which are a generalization of transposed $δ$-Poisson algebras. In particular, we describe all transposed $δ$-Poisson algebras of associative null-filiform algebras. It can be seen that these algebras are characterized by the roots of the polynomial $δ^3 - 3δ^2 + 2δ$. A complete classification of transposed $δ$-Poisson algebras corresponding to each value of the parameter $δ$ is provided. Furthermore, we construct all $δ$-Poisson algebra structures on null-filiform associative algebras, and show that they are trivial $δ$-Poisson algebras.
math.RA↗
(Transposed) Poisson algebra structures on null-filiform associative algebras
In this paper we investigate classifications of all (transposed) Poisson algebras of the associated associative null-filiform algebra
math.RA↗