- Hacettepe Journal of Mathematics and Statistics
- Vol: 40 Issue: 4
- A Note on Generalized Left (t, p)-Derivations in Prime Rings
A Note on Generalized Left (t, p)-Derivations in Prime Rings
Authors : Xiao-wei Xu, Hong-ying Zhang
Pages : 523-529
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Publication Date : 2011-04-01
Article Type : Research
Abstract :In this paper we describe generalized left (θ, φ)-derivations in prime rings, and prove that an additive mapping in a ring R acting as a homomorphism or anti-homomorphism on an additive subgroup S of R must be either a mapping acting as a homomorphism on S or a mapping acting as an anti-homomorphism on S, through which some related results are improved.Keywords : Prime rings, Generalized left (θ, Mappings acting as homomorphisms, Mappings acting as anti-homomorphisms, Mappings acting as homomorphisms or anti-homomorphisms, 2000 AMS Classification: 16 W 25