Properties of Generalised Lattice Ordered Groups

Parimi Radha krishna Kishore, Dawit Chernet Kifetew · International Journal of Computing Science and Applied Mathematics · 2021

A partially ordered group (po-group) is said to be a generalised lattice ordered group (gl-group) if the underlying poset is a generalised lattice. This paper is a study of some properties of finite subsets of a generalised lattice ordered group (gl-group). Finally obtained a lattice ordered group (l-group) from the given interally closed gl-group and concluded that every integrally closed gl-group is distributive.

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