Érica Z. Fornaroli

collaborators

4 papers

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

Involutions of the second kind on finitary incidence algebras

Érica Zancanella Fornaroli

Let $K$ be a field and $X$ a connected partially ordered set. In the first part of this paper, we show that the finitary incidence algebra $F I (X, K)$ of $X$ over $K$ has an involuti…

math.RA2022

Classification of involutions on finitary incidence algebras of non-connected posets

Érica Zancanella Fornaroli, Roger Emanuel Moraes Pezzott

Let $F I (X, K)$ be the finitary incidence algebra of a non-connected partially ordered set $X$ over a field $K$ of characteristic different from $2$ . For the case where every multipl…

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…