Annales Polonici Mathematici, XLIV, 1984, 129-153.
publications
Complete differentials of higher order in linear field modules are defined. A certain necessary condition for the existence of a complete differential of higher order is given. It is proved that this condition holds in a broad class of linear field modules, which contains differential modules and modules of vector fields on differential spaces of class Do (the class Do was defined by P.G.Walczak). Jet-field modules of a linear field module are constructed. The exactness of the sequence of jet-modules is examined. A one-to-one correspondence between complete differentials of higher order and splittings of jet-module sequences is established.