In this paper, it is defined that left *-α-derivation, generalized left *-α-derivation and *-α-derivation, generalized *-α-derivation of a *-ring where α is a
homomorphism. The results which proved for generalized left *-derivation of R in[1] are extended by using
generalized left *-α
References
[1]
Rehman, N., Ansari, A.Z. and Haetinger, C. (2013) A Note on Homomorphisms and Anti-Homomorphisms on *-Ring. Thai Journal of Mathematics, 11, 741-750.
[2]
Bresar, M. and Vukman, J. (1989) On Some Additive Mappings in Rings with Involution. Aequationes Mathematicae, 38, 178-185. https://doi.org/10.1007/BF01840003
[3]
Ali, S. (2012) On Generalized *-Derivations in *-Rings. Palestine Journal of Mathematics, 1, 32-37.
[4]
Bell, H.E. and Kappe, L.C. (1989) Ring in Which Derivations Satisfy Certain Algebraic Conditions. Acta Mathematica Hungarica, 53, 339-346. https://doi.org/10.1007/BF01953371
[5]
Rehman, N. (2004) On Generalized Derivations as Homomorphisms and Anti-Homomorphisms. Glasnik Matematicki, 39, 27-30. https://doi.org/10.3336/gm.39.1.03
[6]
Dhara, B. (2012) Generalized Derivations Acting as a Homomorphism or Anti-Homomorphism in Semiprime Rings. Beiträge zur Algebra und Geometrie, 53, 203-209. https://doi.org/10.1007/s13366-011-0051-9
[7]
Ali, S. (2011) On Generalized Left Derivations in Rings and Banach Algebras. Aequationes Mathematicae, 81, 209-226. https://doi.org/10.1007/s00010-011-0070-5
