M. Khrypchenko

activity

20152025

most citedThe algebraic and geometric classification of nilpotent anticommutative algebras

43 citations · 330 across the 44 of their papers we have counts for

collaborators

Showing 2023 · math.RAShow all

5 papers · 2 filters

math.RA2023★ 4 cited

Transposed Poisson structures on Lie incidence algebras

Ivan Kaygorodov, Mykola Khrypchenko

Let $X$ be a finite connected poset, $K$ a field of characteristic zero and $I (X, K)$ the incidence algebra of $X$ over $K$ seen as a Lie algebra under the commutator product. In th…

math.RA2023

Skew derivations of incidence algebras

Érica Z. Fornaroli, Mykola Khrypchenko

In the first part of the paper we describe $φ$ -derivations of the incidence algebra $I (X, K)$ of a locally finite poset $X$ over a field $K$ , where $φ$ is an arbitrary automorphism…

math.RA2023★ 7 cited

Transposed Poisson structures on the Lie algebra of upper triangular matrices

Ivan Kaygorodov, Mykola Khrypchenko

We describe transposed Poisson structures on the upper triangular matrix Lie algebra $T_{n} (F)$ , $n > 1$ , over a field $F$ of characteristic zero. We prove that, for $n > 2$ , any such st…

math.RA2023

Identities and derived lengths of finitary incidence algebras and their group of units

Mykola Khrypchenko, Salvatore Siciliano

Let $F I (X, K)$ be the finitary incidence algebra of a poset $X$ over a field $K$ . In this short note we establish when $F I (X, K)$ satisfies a polynomial identity and when its group o…

math.RA2023★ 16 cited

Transposed Poisson structures on generalized Witt algebras and Block Lie algebras

Ivan Kaygorodov, Mykola Khrypchenko

We describe transposed Poisson structures on generalized Witt algebras $W (A, V, ⟨ \cdot, \cdot ⟩)$ and Block Lie algebras $L (A, g, f)$ over a field $F$ of characteristic z…