Study of Algebraic and Topological Aspects of Multiplicative Lattices: Exploring the Connections between Operation Research and Mathematics

Abstract

Operation research not only a necessary tool in the development of modern algebra in general and Universal algebra in particular. Operation research plays a major role in simplifying, unifying and generalizing many aspects of Mathematics and resembles Group theory, General topology and Functional analysis, because its central concept that of order, inter wines through almost all mathematics. The beauty of Operation research is in its extreme simplicity of the basic concept, which is order or partial order, one gets interesting generalization of lattice concept by dropping one or more of the lattice identities.