SOME SPECIAL CHARACTERSTICS OF LATTICE ORDERED COMMUTATIVE LOOPS

V. B. V. N. Prasad, K. Prasad, M. Ramesh, R. D. Burri, and T. Rama Rao

  DOI:  https://doi.org/10.37418/amsj.9.11.21

Full Text

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.