Integral Operators on Lattices

As an abstraction and generalization of the integral operator in analysis, operators (known as Rota-Baxter weight zero) on associative algebras Lie have played important role mathematics physics. This paper initiates study lattices resulting (of zero). We show that properties can be characterized terms their operators. also display a large number any given lattice classify isomorphism classes some common lattices. further investigate structures semirings derived from differential