In ١٩٦٢ R.P.Dilworth introduced the concept of a Noether lattice as an
abstraction of the concept of the lattice of ideals of a Noetherian ring. He
showed that many of the important theorems of classical ideal theory held in
them.
The purpose of
this paper is to introduce and study the concept of
idempotent elements for the multiplicative lattices , since they play very
idempotent role for studying the multiplicative lattices and some rings.
