Net Operations

Two kinds of net operations.addition and Cartesian production of P/T nets,are introduced.They are defined on the set of underlying net of P/T systems.The conditions for preserving structural properties of Petri net after these operations are discussed.It is shown that the set of P/T nets forms and Abelian group for net addition operation and the inverse net of a P/T net in usual meaning of net theory is exactly the inverse of this P/T net as an element of the P/T net group;and that the set of P/T nets forms an Abelian ring for net addition and Caresian product operations.