A Note on Generalized Left (t, p)-Derivations in Prime Rings

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

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