FURTHER PROPERTIES OF THE LATTICE OF TORSION CLASSES OF ABELIAN CYCLICALLY ORDERED GROUPS

The notion of torsion class of abelian cyclically ordered groups has been introduced and fundamental properties of the collection tau of all such classes, ordered by the class-theoretical inclusion, have been proved by the second author in 2011. The present paper can be considered as a continuation of the above mentioned one. We describe all atoms of tau, show that tau does not have any dual atom and prove complete distributivity of tau. (C) 2015 Mathematical Institute Slovak Academy of Sciences