Generalized Derivations as Homomorphisms or as Anti-Homomorphisms in a Prime Ring

Abstract

-

Keywords

• -

References

1. Ali, A., Rehman, N. and Shakir, A. On Lie ideals with derivations as homomorphisms and anti-homomorphisms, Acta Math. Hungar. 101, 79–82, 2003.
2. Ashraf, M., Rehman, N. and Quadri, M. A. On (σ, τ )-derivations in certain classes of rings, Rad. Mat. 9, 187–192, 1999.
3. Aydin, N. and Kaya K. Some generalization in prime rings with (σ, τ )-derivations, Doga Tr. J. Math. 16,169–176, 1992.
4. Bell, H. E. and Kappe, L. C. Rings in which derivations satisfy certain algebraic conditions, Acta. Math. Hungar. 53, 339–346, 1989.
5. Herstein, I. N., Topics in Ring Theory (Univ. Chicago Press, Chicago, 1969).
6. Hvala, B. Generalized derivations in rings, Comm. Algebra 26 (4), 1147–1166, 1998.
7. Yenigul, M. and Argac, N. On prime and semiprime rings with α-derivations, Turk. J. Math. 18, 280–284, 1994.