SOME SPECIAL CHARACTERSTICS OF LATTICE ORDERED COMMUTATIVE LOOPS
V. B. V. N. Prasad, K. Prasad, M. Ramesh, R. D. Burri, and T. Rama Rao
In this paper, we have shown that a commutative l-group resembles like a commutative l-group, and most of the features of l-groups are retained by the l-loop. After developing some of the relevant properties of an l-loop, we have characterised its positive cone, obtained a necessary and sufficient condition for an l-loop to become an l-group and for it to be totally ordered.
Keywords: Loops, partial order, lattices, ordered abelian groups.