Generalized Jordan triple derivations associated with Hochschild 2–cocycles of rings

Abstract

Abstract 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.

Keywords

• Prime ring
• Derivation
• Generalized Jordan triple derivation
• Hochschild 2–cocycle