Semiring-valued korczyński nets

Korczynski [4]-[6] generalized the notion of a Petri net by introducing the notion of an e-net. The purpose of this generalization, based on a nonstandard definition of a directed graph, was to allow a wider class of morphisms, including those which send edges to vertices. Around the same time, Golan [2] introduced the notion of a semiringvalued Petri net in order to present a common framework which includes classical Petri nets, colored Petri nets, fuzzy Petri nets, etc. In this note we use the same techniques for presenting semiring-valued Korczynski nets, which contain semiring-valued Petri nets as a special case.