Some Special Characteristics of Atoms in Lattice Ordered Loops

Abstract

In this manuscript, we consider that L is a lattice ordered loop. Further, we discuss some important characteristics of atoms in lattice ordered loops. We initiate the concepts of positive and negative atoms, dual atom, atomic lattice, meet irreducible element, join irreducible element, descending chain condition and ascending chain condition, right Archimedean property. Here there are two topics, one is about atoms in lattice ordered loops and the other is about Archimedean property.