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math.RA2021
Proper Lie automorphisms of incidence algebras
Érica Z. Fornaroli, Mykola Khrypchenko, Ednei A. Santulo
Let be a finite connected poset and a field. We study the question, when all Lie automorphisms of the incidence algebra are proper. Without any restriction on the…
math.RA2020
Lie automorphisms of incidence algebras
Érica Z. Fornaroli, Mykola Khrypchenko, Ednei A. Santulo
Let be a finite connected poset and a field. We give a full description of the Lie automorphisms of the incidence algebra . In particular, we show that they are in…
math.RA2019★ 3 cited
On the image of polynomials evaluated on incidence algebras: a counter-example and a solution
Ednei A. Santulo, Felipe Y. Yasumura
In this paper, we investigate the subset obtained by evaluations of a fixed multilinear polynomial on a given algebra. We provide an example of a multilinear polynomial, whose imag…