'. Z. Fornaroli

activity

20082025

collaborators

7 papers

math.QA2025

Quantum upper triangular matrix algebras

Érica Z. Fornaroli, Mykola Khrypchenko, Samuel A. Lopes +1

Following the ideas in~\cite{yM88}, \cite{T90} and inspiration from~\cite{KO24}, we construct a bialgebra $T_{q} (n)$ and a pointed Hopf algebra $U T_{q} (n)$ which quantize the coordinat…

math.RA2021

Anti-isomorphisms and involutions on the idealization of the incidence space over the finitary incidence algebra

Érica Zancanella Fornaroli, Roger Emanuel Moraes Pezzott

Let $K$ be a field and $X$ a partially ordered set (poset). Let $F I (X, K)$ and $I (X, K)$ be the finitary incidence algebra and the incidence space of $X$ over $K$ , respectively, and…

math.RA2021

Skew incidence rings and the isomorphism problem

Érica Zancanella Fornaroli

Let $X$ be a finite partially ordered set, $R$ an associative unital ring and $σ$ an endomorphism of $R$ . We describe some properties of the skew incidence ring $I (X, R, σ)$ such as…

math.RA2020

Lie automorphisms of incidence algebras

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

Let $X$ be a finite connected poset and $K$ a field. We give a full description of the Lie automorphisms of the incidence algebra $I (X, K)$ . In particular, we show that they are in…

math.RA2018

Jordan Isomorphisms of the Finitary Incidence Ring of a Partially Ordered Category

Rosali Brusamarello, Érica Z. Fornaroli, Mykola Khrypchenko

Let $C$ be a pocategory, $F I (C)$ the finitary incidence ring of $C$ and $φ$ a Jordan isomorphism of $F I (C)$ onto an associative ring $A$ . We…

math.RA2016

Free algebras in division rings with an involution

Vitor O. Ferreira, Érica Z. Fornaroli, Jairo Z. Gonçalves

Some general criteria to produce explicit free algebras inside the division ring of fractions of skew polynomial rings are presented. These criteria are applied to some special cas…