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

Authors

Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Cairo, 11884, Egypt

https://doi.org/10.1186/s42787-019-0003-3

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