Generalized Jordan triple derivations associated with Hochschild 2–cocycles of rings | ||
Journal of the Egyptian Mathematical Society | ||
Article 4, Volume 27, Issue 1, 2019, Pages 1-8 PDF (517.95 K) | ||
DOI: 10.1186/s42787-019-0003-3 | ||
Authors | ||
O. H. Ezzat; H. Nabiel | ||
Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Cairo, 11884, Egypt | ||
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; Hochschild2–cocycle | ||
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