4 citations · 8 across the 6 of their papers we have counts for
7 papers · 1 filter
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 of a finite connected poset over a field . We prove that such a structure is the sum of a…
Commutativity preservers of incidence algebras
Érica Z. Fornaroli, Mykola Khrypchenko, Ednei A. Santulo
Let be the incidence algebra of a finite connected poset over a field and its subalgebra consisting of diagonal elements. We describe the bijective linear…
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…
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…
Degree-inverting involution on full square and triangular matrices
Lais S. da Fonseca, Ednei A. Santulo, Felipe Y. Yasumura
In this short note, we classify the degree-inverting involution on the full square and triangular matrices.
Group gradings on finite dimensional incidence algebras
Ednei A. Santulo, Jonathan P. Souza, Felipe Y. Yasumura
In this work, we classify the group gradings on finite-dimensional incidence algebras over a field, where the field has characteristic zero, or the characteristic is greater than t…
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…