In this article the theory of distributed systems and information flow inside distributed systems by Barwise and Seligman is extended to semiconcept graphs and protoconcept graphs. For this purpose at first the information transferring mappings, i.e., semiconcept graph morphisms and protoconcept graph morphisms are defined. As in the theory by Barwise and Seligman a minimal cover of a distributed system consisting of semiconcept or protoconcept graphs and the corresponding morphisms by a channel can be constructed. Such a channel consists of a set of graph morphisms into a common semiconcept or protoconcept graph which is called the core of the channel. The core represents the distributed system as a whole and in particular the common information of the semiconcept or protoconcept graphs in the distributed system.