Abstract
A lattice-ordered group (“l-group”)Gwill be calledaP-groupifG=g″ ⊕g′ for eachg∈G(projectable)anSP-groupifG=C⊕C′ for each polarCofG(strongly projectable)anL-groupif each disjoint subset has a 1. u. b. (laterally complete)anO groupif it is both anL-groupand aP-group (orthocomplete).Gisrepresentableif it is anl-subgroup of a cardinal product of totally ordered groups. It follows that aP-group must be representable and henceSP-groups andO-groups are also representable.
Publisher
Cambridge University Press (CUP)
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