QUASIORDER LATTICES ARE FIVE-GENERATED
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2016, Vol 36, Issue 1
Abstract
transitive relation. The quasiorders on a set A form a complete lattice with respect to set inclusion. Assume that A is a set such that there is no inaccessible cardinal less than or equal to |A|; note that in Kuratowski’s model of ZFC, all sets A satisfy this assumption. Generalizing the 1996 result of Ivan Chajda and G´abor Cz´edli, also Tam´as Dolgos’ recent achievement, we prove that in this case the lattice of quasiorders on A is five-generated, as a complete lattice.
Authors and Affiliations
Julia Kulin
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