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Cocompact lattices. (English) Zbl 0855.06007
Summary: A lattice $$L$$ is called cocompact if its dual $$L^0$$ is compact. If $$M$$ is an $$R$$-module, the lattice $$S_R (M)$$ of all the submodules of $$M$$ is cocompact iff $$M$$ is finitely cogenerated. Most of the properties of these modules are proved in the general lattice setting.
##### MSC:
 06C05 Modular lattices, Desarguesian lattices 06C20 Complemented modular lattices, continuous geometries
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