A Note on Posner's Theorem with Generalized Derivations on Lie Ideals
V. De Filippis
Università di Messina, ItalyM.S. Tammam El-Sayid
Beni Suef University, Egypt
![A Note on Posner's Theorem with Generalized Derivations on Lie Ideals cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-rsmup-volume-122.png&w=3840&q=90)
Abstract
Let be a prime ring of characteristic different from , its center, its Utumi quotient ring, its extended centroid, a non-zero generalized derivation of , a non-central Lie ideal of . We prove that if for all then one of the following holds:
- there exists such that , for all ;
- satisfies the standard identity and there exist , such that , for all .
Cite this article
V. De Filippis, M.S. Tammam El-Sayid, A Note on Posner's Theorem with Generalized Derivations on Lie Ideals. Rend. Sem. Mat. Univ. Padova 122 (2009), pp. 55–64
DOI 10.4171/RSMUP/122-5