4 papers
Commutators on Generalized Block-Triangular Algebras
Pedro Souza Fagundes, Thiago Castilho de Mello
The characterization of commutators in associative algebras is a classical problem in ring theory. In this paper, we address this problem for the natural class of generalized block…
Upper triangular matrices with superinvolution: identities and images of multilinear polynomials
Elena Campedel, Pedro Fagundes, Antonio Ioppolo
In this paper we consider the algebra of upper triangular matrices UT, endowed with a -grading (superalgebra) and equipped with a superinvolution. These struct…
Images of multilinear polynomials of degree up to four on upper triangular matrices
Pedro S. Fagundes, Thiago C. de Mello
We describe the images of multilinear polynomials of degree up to four on the upper triangular matrix algebra.
The images of multilinear polynomials on strictly upper triangular matrices
Pedro S. Fagundes
The purpose of this paper is to describe the images of multilinear polynomials of arbitrary degree on the strictly upper triangular matrix algebra.