(Totally) L-ordered Groups.

In this paper, first we investigate some properties of L-ordered groups such as L-subgroup generated by an arbitrary subset and product ofL-ordered groups. Then we introduce the notions of totallyL-ordered group and strong totallyL-ordered group, where L is a frame and some related results are obtained. We show that the set of all isomorphisms on a totally Lsubgroup, forms an L-ordered group. Moreover, if it is a strong totally L-ordered group, then the set of all isomorphisms on it is an L-lattice ordered group. [ABSTRACT FROM AUTHOR]