The set of Moufang elements in a middle Bol loop is considered in the present work. We prove that every inner mapping of the Moufang part (which is a subloop) of a middle Bol loop (Q,·) extends to a right pseudo-automorphism of (Q,·)
We consider the group GM(Q,·), generated by all left, rightand middle translations of a loop (Q,·). The generalized innermapping groupJ consists of all mappingsα∈GM(Q,·), such that α(e) =e, wheree is the unit of (Q,·). In the present note we give a set of mappings which generates the groupJ.
