Boolean products of lattices
The authors focus on the Pierce sheaf representation of bounded lattices and give a detailed account of conditions on a bounded lattice \(L\). Further, they present a sequence of technical lemmas which provide the basic link between properties of the Pierce sheaf of a lattice and lattice-theoretic properties of its centre. In the following sections, they characterize Hausdorff lattices, the connection between weakly Hausdorff lattices and Hausdorff lattices. They study Hausdorff lattices which have the extended patchwork property. Finally, they give examples which illustrate their results.
scientific article; zbMATH DE number 947533
scientific article