On ∗-(σ,τ)-Lie ideals of ∗-prime rings with derivation

Yayın Aralığı: Yılda 6 Sayı
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

Let R be a ∗−prime ring with characteristic not 2, U be a nonzero ∗−(σ,τ)−Lie ideal of R and d be a nonzero derivation of R. Suppose σ,τ be two automorphisms of R such that σd = dσ,τd = dτ and ∗ commutes with σ,τ,d. In the present paper it is shown that if d2(U) = (0), then U ⊆ Z.

PDF

___

Aydın, N. and Soyt¸rk, M., ( ; )- Lie ideals in prime rings with derivation , Do§a- Tr. J. Of Math., 19, 239-244, 1995.
Bergen, J., Herstein, I.N. and Kerr, J.W., Lie ideals and derivations of prime rings , J. Algebra, 71, 259-267, 1981.
Kaya, K., ( ; )- Lie ideals in prime rings , An. ‹niv. Timisoara, Stiinte Mat., 30 (2-3), 251-255, 1992.
Lee, P. H. and Lee, T. K., Lie ideals of prime rings with derivations , Bull. Inst. Math., Acad. Sin., 11, 75 80, 1983.
Oukhtite, L. and Salhi, S., On commutativity ofprime rings, Glasnik Math., 41, no. 61, 57-64, 2006.
Oukhtite, L. and Salhi, S.,prime rings with a special kind of automorphism , Int. J. Contemp. Math. Sci. Vol. 2, no.3, 127-133, 2007.
Oukhtite, L. and Salhi, S., Lie ideals and derivations ofprime rings, Int. J. Algebra, Vol.1, no. 1, 25-30, 2007.
Oukhtite, L. and Salhi, S., Centralizing automorphisms and Jordan left derivations on prime rings, Adv. Algebra Vol. 1, no. 1, 19-26, 2008.
[Posner, E. C., Derivations in prime rings , Proc. Amer. Soc., 8, 1093-1100, 1957.
T¸rkmen, S. and Ayd n, N., Generalized Lie Ideal of Prime Rin g, Turkish J. Math. 41 (4), 841-853, 2017.