A map $ f $ on a ring $\cal A $ is said to be commuting if $ f (x) $ commutes with $ x $ for
every $ x\in\cal A $. The paper surveys the development of the theory of commuting maps …

arxiv:0706.1942v1 [math.RA] 13 Jun 2007 Page 1 arxiv:0706.1942v1 [math.RA] 13 Jun 2007
ON JORDAN DERIVATIONS OF TRIANGULAR ALGEBRAS XUEHAN CHENG AND WU JING …

Let A be a triangular algebra. The problem of describing the form of a bilinear map B: A× A→
A satisfying B (x, x) x= xB (x, x) for all x∈ A is considered. As an application, commutativity …

Commutativity preserving maps Page 1 Linear Algebra and its Applications 429 (2008) 1051–1070
Available online at www.sciencedirect.com www.elsevier.com/locate/laa Commutativity …

In the present survey the main results of the theory of functional identities are presented and
an analysis of the current state of this theory is given. Applications obtained in this direction …

Let A be a unital R-algebra and M be a unital A-bimodule. It is shown that every
DERIVATION/fa? page= 1&sort= 1&ftyp= all&fgrp= all&fyrs= all" target=" _blank"> JORDAN …

Commuting maps over the ring of strictly upper triangular matrices - ScienceDirect Skip to main
contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …

Using the notion of the maximal left ring of quotients, our recent result on the solutions of
functional identity in triangular rings is generalized. Consequently, generalizations of known …

Let $\mathcal {G} $ be a generalized matrix algebra over a commutative ring $\mathcal {R}
$, ${\mathfrak q}\colon\mathcal {G}\times\mathcal {G}\longrightarrow\mathcal {G} $ be an …

Let be the algebra of all n× n upper triangular matrices over a commutative unital ring, and
let be a 2-torsion free unital-bimodule. We show that every Lie derivation is a sum of a …