Jordan generalized derivations on trivial extension algebras

In this paper, we investigate the problem of describing the form of Jordan generalized derivations on trivial extension algebras. One of the main results shows, under some conditions, that every Jordan generalized derivation on a trivial extension algebra is the sum of a generalized derivation and an antiderivation. This result extends the study of Jordan generalized derivations on triangular algebras (see [12]), and also it can be considered as a ``generalized" counterpart of the results given on Jordan derivations of a trivial extension algebra (see [11]). KCI Citation Count: 1