a^∗-closures of completely distributive lattice-ordered groups

Andrew M. W. Glass, W. Charles (Wilbur) Holland Jr. and Stephen H. McCleary

Vol. 59 (1975), No. 1, 43–67

DOI: 10.2140/pjm.1975.59.43

Abstract

The a^∗-closure of a completely distributive lattice-ordered group is located within a wreath product of primitive components associated with certain transitive representation of the group. For many primitive lattice ordered groups, the a^∗-closures are described explicitly.

Mathematical Subject Classification

Primary: 06A55

Milestones

Received: 5 September 1973

Revised: 7 March 1975

Published: 1 July 1975