DIFFERENTIAL OPERATORS OVER MODULES AND RINGS AS A PATH TO THE GENERALIZED DIFFERENTIAL GEOMETRY

Abstract

The purpose of this paper is to give a short and understandable ex-
position on differential operators over modules and rings. The described
methods allow to use the algebra in the differential geometry. Because
this is a survey paper, the detailed proofs are omitted. On the other
hand, various references are given for the interested Reader. However,
this paper should be understandable for quite general audience, familiar
with higher mathematics. The stress is put on the main idea, not on
the computational details.