No abstract

The aim of this paper is to show that certain subsets, which are defined by commutativity conditions involving derivations, generalized derivations and epimorphisms, coincide with the center in prime or semiprime rings.

The aim of this article is to discuss the existence of certain kinds of derivations and *-derivations that are of period 2. Moreover, we obtain the form of generalized reverse derivations and generalized left derivations of period 2 .

In the present work, we introduce the notion of a generalized Jordan triple derivation associated with a Hochschild 2-cocycle, and we prove results which imply under some conditions that every generalized Jordan triple derivation associated with a Hochschild 2-cocycle of a prime ring with characteristic different from 2 is a generalized derivation associated with a Hochschild 2-cocycle.