## Abstract

Let

## References

[1] M. Ashraf, A. Khan, C. Haetinger: On (σ,τ)-higher derivations in prime rings. Int. Electron. J. Math. 8 (1) (2010) 65{79.

[2] M. Ashraf, A. Khan: On generalized (σ,τ)-higher derivations in prime rings. SpringerPlus 38 (2012).

[3] R. Awtar: Lie ideals and Jordan derivations of prime rings. Proc. Amer. Math. Soc. 90 (1) (1984) 9{14.

[4] J. Bergen, I. N. Herstein, J. W. Kerr: Lie ideals and derivations of prime rings. J. Algebra 71 (1981) 259{267.

[5] M. Bre¹ar: On the distance of the composition of two derivations to the generalized derivations. Glasgow Math. J. 33 (1991) 89{93.

[6] S. U. Chase: A generalization of the ring of triangular matrices. Nagoya Math. J. 18 (1961) 13{25.

[7] W. Cortes, C. Haetinger: On Jordan generalized higher derivations in rings. Turkish J. Math. 29 (1) (2005) 1{10.

[8] M. Ferrero, C. Haetinger: Higher derivations and a theorem by Herstein. Quaest. Math. 25 (2) (2002) 249{257.

[9] M. Ferrero, C. Haetinger: Higher derivations of semiprime rings. Comm. Algebra 30 (5) (2002) 2321{2333.

[10] C. Haetinger: Higher derivation on Lie ideals. Tend. Mat. Apl. Comput. 3 (1) (2002) 141{145.

[11] C. Haetinger, M. Ashraf, S. Ali: On Higher derivations: a survey. Int. J. Math. Game Theory Algebra 19 (5/6) (2011) 359{379.

[12] D. Han: Higher derivations on Lie ideals of triangular algebras. Sib. Math. J. 53 (6) (2012) 1029{1036.

[13] F. Hasse, F. K. Schmidt: Noch eine Begründung der Theorie der höheren DiKerentialquotienten einem algebraischen Funktionenköroer einer Unbestimmten. J. reine angew. Math. 177 (1937) 215{237.

[14] W. Jing, S. Lu: Generalized Jordan derivations on prime rings and standard operator algebras. Taiwanese J. Math. 7 (4) (2003) 605{613.

[15] Y. S. Jung: Generalized Jordan triple higher derivations on prime rings. Indian J. Pure Appl. Math. 36 (9) (2005) 513{524.

[16] C. Lanski, S. Montgomery: Lie structure of prime rings of characteristic 2. Paci_c J. Math. 42 (1972) 117{136.

[17] A. Nakajima: On generalized higher derivations. Turk. J. Math. 24 (3) (2000) 295{311.

[18] Z. H. Xiao, F. Wei: Jordan higher derivations on triangular algebras. Linear Algebra Appl. 432 (2010) 2615{2622.