Rendiconti del Seminario Matematico della Università di Padova


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Volume 125, 2011, pp. 147–156
DOI: 10.4171/RSMUP/125-9

Lie Ideals and Jordan Triple Derivations in Rings

Motoshi Hongan[1], Nadeem ur Rehman[2] and Radwan Mohammed Al-Omary[3]

(1) Department of Mathematics, Tsuyama College of Technology, 624-1 Numa, Tsuyama, Okayama, Japan
(2) Department of Mathematics, Aligarh Muslim University, 202 002, Aligarh, India
(3) Department of Mathematics, Aligarh Muslim University, 202 002, Aligarh, India

In this paper we prove that on a 2-torsion free semiprime ring R every Jordan triple (resp. generalized Jordan triple) derivation on Lie ideal L is a derivation on L (resp. generalized derivation on L).

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Hongan Motoshi, ur Rehman Nadeem, Al-Omary Radwan Mohammed: Lie Ideals and Jordan Triple Derivations in Rings. Rend. Sem. Mat. Univ. Padova 125 (2011), 147-156. doi: 10.4171/RSMUP/125-9