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

Yıl 2009, Cilt: 38 Sayı: 1, 17 - 20, 01.01.2009

A. Ali D. Kumar

Anahtar Kelimeler

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Kaynakça

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