AN INTRODUCTION TO LATTICE ORDERED G-MODULES

Abstract

Lattice theory is a branch of Mathematics which is fast making inroads into various mathematical disciplines. The concepts of lattice ordered groups and rings emerged as a result of the application of lattice theory in algebra. The structure of -modules is an effective tool in algebra which is mainly used in representation theory. In this paper we introduce the notion of lattice ordered -modules which would facilitate an advanced research in the area of lattice ordered groups and other algebraic systems.

 

Keywords: -group, lattice ordered -module, lattice ordered -submodule,-ideal,-filter,-annihilator[2010] MSC: 20Cxx  06F25