Generalized Lie (Jordan) Triple Derivations on Arbitrary Triangular Algebras

Abstract

In this paper, we give a description of Lie (Jordan) triple derivations and generalized Lie (Jordan) triple derivations of an arbitrary triangular algebra $${\\mathfrak {A}}$$\n through a triangular algebra $${\\mathfrak {A}}^{0},$$\n where $${\\mathfrak {A}}^{0}$$\n is a triangular algebra constructed from the given triangular algebra $${\\mathfrak {A}}$$\n using the notion of maximal left (right) ring of quotients such that $${\\mathfrak {A}}$$\n is the subalgebra of $${\\mathfrak {A}}^{0}$$\n having the same unity.