Lattice cyclically ordered groups.

*(English)*Zbl 1036.06502Summary: The notion of a cyclically ordered group (CO-group) was introduced by L. Rieger. Some properties of right cyclically ordered groups (RCO-groups) and of partially cyclically ordered groups (PCO-groups) were previously investigated by the author. It was proved that the group of automorphisms of a cyclically ordered set is an RCO-orderable group.

In this paper the notion of a lattice cyclically ordered group is introduced. It is proved that the group of automorphisms of a cyclically ordered set is a lattice cyclically orderable group.

##### MSC:

06F15 | Ordered groups |