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

Abstract

In this paper we describe generalized left (θ, φ)-derivations in primerings, and prove that an additive mapping in a ring R acting as ahomomorphism or anti-homomorphism on an additive subgroup S ofR must be either a mapping acting as a homomorphism on S or amapping acting as an anti-homomorphism on S, through which somerelated results are improved.