Abstract
Let R be a 2-torsion free semiprime ring. In this paper we will show that every Jordan triple(θ, φ)-derivation on R is a (θ, φ)-derivation. Also every Jordan triple left centralizer on R is a left centralizer. As a consequence, every generalized Jordan triple (θ, φ)-derivation on R is a generalized (θ, φ)-derivation. This result gives an affirmative answer to the question posed by Wu and Lu in [14].
| Original language | English |
|---|---|
| Pages (from-to) | 1397-1406 |
| Number of pages | 10 |
| Journal | Taiwanese Journal of Mathematics |
| Volume | 11 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2007 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
Cite this
Liu, C. K., & Shiue, W. K. (2007). Generalized Jordan triple (θ, φ)-derivations on semiprime rings. Taiwanese Journal of Mathematics, 11(5), 1397-1406. https://doi.org/10.11650/twjm/1500404872