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 2022Show all

5 papers · 1 filter

math.RA2022★ 1 cited

Regular Hom-Lie structures on incidence algebras

Érica Z. Fornaroli, Mykola Khrypchenko, Ednei A. Santulo

We fully characterize regular Hom-Lie structures on the incidence algebra $I (X, K)$ of a finite connected poset $X$ over a field $K$ . We prove that such a structure is the sum of a…

math.RA2022★ 23 cited

Transposed Poisson structures on Witt type algebras

Ivan Kaygorodov, Mykola Khrypchenko

We describe $\frac{1}{2}$ -derivations, and hence transposed Poisson algebra structures, on Witt type Lie algebras $V (f)$ , where $f : Γ \to C$ is non-trivial and $f (0) = 0$ . More…

math.RA2022★ 27 cited

Transposed Poisson structures on Block Lie algebras and superalgebras

Ivan Kaygorodov, Mykola Khrypchenko

We describe transposed Poisson algebra structures on Block Lie algebras $B (q)$ and Block Lie superalgebras $S (q)$ , where $q$ is an arbitrary complex number. Speci…

math.RA2022

Commutativity preservers of incidence algebras

Érica Z. Fornaroli, Mykola Khrypchenko, Ednei A. Santulo

Let $I (X, K)$ be the incidence algebra of a finite connected poset $X$ over a field $K$ and $D (X, K)$ its subalgebra consisting of diagonal elements. We describe the bijective linear…

math.RA2022

Linear maps preserving products equal to primitive idempotents of an incidence algebra

Jorge J. Garcés, Mykola Khrypchenko

Let $A$ , $B$ be algebras and $a \in A$ , $b \in B$ a fixed pair of elements. We say that a map $φ : A \to B$ preserves products equal to $a$ and $b$ if for all $a_{1}, a_{2} \in A$ the equalit…