Browse > Article
http://dx.doi.org/10.4134/BKMS.2009.46.3.553

GENERALIZED JORDAN TRIPLE HIGHER DERIVATIONS ON SEMIPRIME RINGS  

Wei, Feng (DEPARTMENT OF MATHEMATICS BEIJING INSTITUTE OF TECHNOLOGY)
Xiao, Zhankui (DEPARTMENT OF MATHEMATICS BEIJING INSTITUTE OF TECHNOLOGY)
Publication Information
Bulletin of the Korean Mathematical Society / v.46, no.3, 2009 , pp. 553-565 More about this Journal
Abstract
In this paper we prove that every generalized Jordan triple higher derivation on a 2-torsion free semiprime ring is a generalized higher derivation. This extend the main result of [9] to the case of a semiprime ring.
Keywords
generalized Jordan triple higher derivation; semi-prime ring;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
Times Cited By Web Of Science : 6  (Related Records In Web of Science)
Times Cited By SCOPUS : 5
연도 인용수 순위
1 M. Bresar, Jordan mappings of semiprime rings, J. Algebra 127 (1989), no. 1, 218–228   DOI
2 J. M. Cusack, Jordan derivations on rings, Proc. Amer. Math. Soc. 53 (1975), no. 2, 321–324
3 M. Ferrero and C. Haetinger, Higher derivations and a theorem by Herstein, Quaest. Math. 25 (2002), no. 2, 249–257
4 B. Hvala, Generalized derivations in rings, Comm. Algebra 26 (1998), no. 4, 1147-1166   DOI   ScienceOn
5 W. Jing and S.-J. Lu, Generalized Jordan derivations on prime rings and standard operator algebras, Taiwanese J. Math. 7 (2003), no. 4, 605–613
6 Y.-S. Jung, Generalized Jordan triple higher derivations on prime rings, Indian J. Pure Appl. Math. 36 (2005), no. 9, 513–524
7 Y.-S. Jung and K.-H. Park, On generalized ($\alpha \beta$)-derivations and commutativity in prime rings, Bull. Korean Math. Soc. 43 (2006), no. 1, 101–106   과학기술학회마을   DOI   ScienceOn
8 Y.-S. Jung and K.-H. Park, On prime and semiprime rings with permuting 3-derivations, Bull. Korean Math. Soc. 44 (2007), no. 4, 789–794   과학기술학회마을   DOI   ScienceOn
9 F.Wei and Z.-K. Xiao, Generalized Jordan derivations and its pairs on semiprime rings, Demonstratio Math., in press
10 M. Ferrero and C. Haetinger, Higher derivations and a theorem by Herstein, Quaest. Math. 25 (2002), no. 2, 249–257
11 F. Wei, *-generalized differential identities of semiprime rings with involution, Houston J. Math. 32 (2006), no. 3, 665–681
12 M. Bresar, Jordan derivations on semiprime rings, Proc. Amer. Math. Soc. 104 (1988), no. 4, 1003–1006
13 N. Argac and E. Albas, On generalized ($\sigma \tau$)-derivations, Sibirsk. Mat. Zh. 43 (2002), no. 6, 1211–1221; translation in Siberian Math. J. 43 (2002), no. 6, 977–984   DOI