Mykola Khrypchenko

activity

20162024

collaborators

4 papers

math.RA2024

Invertibility preservers of finitary incidence algebras

Jorge J. Garcés, Mykola Khrypchenko

Let $X$ be an arbitrary poset and $K$ an arbitrary field. We describe linear unital invertibility preservers of the finitary incidence algebra $F I (X, K)$ in terms of certain maps of…

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.RA2017

Jordan Isomorphisms of Finitary Incidence Algebras

Rosali Brusamarello, Érica Z. Fornaroli, Mykola Khrypchenko

Let $X$ be a partially ordered set, $R$ a commutative $2$ -torsionfree unital ring and $F I (X, R)$ the finitary incidence algebra of $X$ over $R$ . In this note we prove that each $R$ -…

math.RA2016

Lie Derivations of Incidence Algebras

Xian Zhang, Mykola Khrypchenko

Let $X$ be a locally finite preordered set, $R$ a commutative ring with identity and $I (X, R)$ the incidence algebra of $X$ over $R$ . In this note we prov…