This paper is intended to analyse an S-linear algebra’s application so as to build an S-propagator's concept. In particular we shall study a semi -deterministic propagator via superposition (it is intended the Carfì ́s notion of superposition).

The purpose of this paper is to give another definition of the superposition integral by using another kind of reasoning. In particular we define it as a generalization of the Bochner integral. We shall see it in section 2 and the superposition integral in section 3.