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

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 c...

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Bibliographic Details
Main Authors: O. H. Ezzat, H. Nabiel
Format: Article
Language:English
Published: SpringerOpen 2019-04-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Online Access:http://link.springer.com/article/10.1186/s42787-019-0003-3
Description
Summary: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.
ISSN:2090-9128