Unital

Pure mathematics

Mathematics

Triangular matrix

Matrix (chemical analysis)

Algebra over a field

Philosophy

Composite material

Materials science

Linguistics

Lie algebra

Zero (linguistics)

Invertible matrix

Journal of Algebra and Its Applications

Let [Formula: see text] be a 2-torsion free unital generalized matrix algebra, and [Formula: see text] be a linear map satisfying [Formula: see text] In this paper, we study the structure of [Formula: see text] and under some mild conditions on [Formula: see text] we present the necessary and sufficient conditions for [Formula: see text] to be in terms of centralizers. We then provide the characterizations of Lie centralizers on [Formula: see text] and our results generalize some of the previous results. We also refer to some applications of our results for triangular algebras and some operator algebras.

Lie centralizers at the zero products on generalized matrix algebras