On generalized Jordan triple (alpha, beta)-derivations of rings

Abstract

In the present paper, we study Jordan triple (α, β)-derivation, generalized Jordan triple (α, β)-derivation on ideal I of a prime ring R and find the necessary and sufficient conditions under which any Jordan triple (α, β)-derivation (resp. generalized Jordan triple (α, β)-derivation) becomes an (α, β)-derivation on ideal I (resp. a generalized (α, β)-derivation on I).