Vol. 63, No. 1, 1976

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Archimedean and basic elements in completely distributive lattice-ordered groups

Robert Horace Redfield

Vol. 63 (1976), No. 1, 247–253
Abstract

It is known that the bi-prime group B(G) of an l-group G contains the basic elements of G. We show that every l-group G possesses a unique, maximal, archimedean, convex l-subgroup A(G), and that if G is completely distributive and if A(G) is representable, then B(G) has a basis.

Mathematical Subject Classification
Primary: 06A55, 06A55
Milestones
Received: 1 July 1975
Published: 1 March 1976
Authors
Robert Horace Redfield