Farukh Mashurov

collaborators

4 papers

math.RA2026

Simple n-Lie Poisson Algebras

Farukh Mashurov

Let $(A, \cdot, I ¨ )$ be a simple $n$ -Lie Poisson algebra over a field of zero characteristic, $1 \in A .$ Then we prove that the $n$ -Lie algebra $A^{[1]} / (A^{[1]} \cap Z)$ is simple,…

math.RA2025

On Zinbiel and Tortkara superalgebras

Sofiane Bouarroudj, Farukh Mashurov

In this paper, we study Zinbiel superalgebras and special Tortkara superalgebras, highlighting key differences between the super and the non-super setting. We present examples of Z…

math.RA2025

On the transposed Poisson n-Lie algebras

Farukh Mashurov

We study unital commutative associative algebras and their associated n-Lie algebras, showing that they are strong transposed Poisson n-Lie algebras under specific compatibility co…

math.RA2025

On the generalized Poisson and transposed Poisson algebras

Askar Dzhumadil'daev, Nurlan Ismailov, Farukh Mashurov

We provide the polynomial identities of algebras that are both generalized Poisson algebras and transposed Poisson algebras. We establish defining identities via single operation f…