Derivations of the subalgebras intermediate the general linear Lie algebra and the diagonal subalgebra over commutative rings

Deng Yin Wang; Xian Wang

Skip to main content (access key 's'), Skip to navigation (access key 'n'), Accessibility information (access key '0')

Displaying similar documents to “Derivations of the subalgebras intermediate the general linear Lie algebra and the diagonal subalgebra over commutative rings”

An identity related to centralizers in semiprime rings

Joso Vukman (1999)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

The purpose of this paper is to prove the following result: Let $R$ be a $2$ -torsion free semiprime ring and let $T : R \to R$ be an additive mapping, such that $2 T (x^{2}) = T (x) x + x T (x)$ holds for all $x \in R$ . In this case $T$ is left and right centralizer.

Centralizers on semiprime rings

Joso Vukman (2001)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

The main result: Let $R$ be a $2$ -torsion free semiprime ring and let $T : R \to R$ be an additive mapping. Suppose that $T (x y x) = x T (y) x$ holds for all $x, y \in R$ . In this case $T$ is a centralizer.

On derivations over rings of triangular matrices

A. L. Barrenechea, C. C. Pena (2005)

Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques

Similarity: