Strongly Algebraically Closed Lattices in ℓ-groups and Semilattices
In this article, the properties of being '0-classes of a full ℓ-group, the set of polars of an ℓ-group, the complemented ℓ-ideals of a complete ℓ-group, the set of invariant elements of a dimension ortholattice, and pseudocomplemented semilattices are studied from the perspective of model theory and their relations to strongly algebraically closed lattices are obtained.