we show  that a projective maximal submodule of afinitely generated, regular, extending module is a directsummand. hence, every finitely generated, regular, extendingmodule with projective maximal submodules is semisimple. as aconsequence, we observe that every regular, hereditary, extendingmodule is semisimple. this generalizes and simplifies a result of  dung and   smith. as another consequen...

Let R be a prime ring of characteristic not 2, L nonzero square closed Lie ideal and let F : → R, G generalized derivations associated with d g respectively. In this paper, we study several conditions that imply the is central. Moreover, it shown assumption primeness can removed.