%0 Journal Article %T Generalised lattice ordered groups (gl-groups) %A P. Radha Krishna Kishore %J International Journal of Algebra %D 2013 %I %X In this paper introduced the concept of generalised lattice orderedgroup (gl-group) in such a way that every l-group is a gl-group but theconverse is not true. Proved that every gmsl-group (gjsl-group) is a glgroup.Obtained necessary and sufficient condition for the lexicographicproduct of two non-trivial directed po-groups to be a gl-group. %K poset %K lattice %K po-groups %K l-groups %U http://www.m-hikari.com/ija/ija-2013/ija-1-4-2013/kishoreIJA1-4-2013-1.pdf