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Quasiorder lattices are five-generated

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Kulin J.

Discussiones Mathematicae - General Algebra and Applications

2016

tom 36

nr 1

59-70

A quasiorder (relation), also known as a preorder, is a reflexive and 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 Gábor Czéedli, also Tamás Dolgos' recent achievement, we prove that in this case the lattice of quasiorders on A is five-generated, as a complete lattice.

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1 Discussiones Mathematicae - General Algebra and Applications

1 Kulin J.

1 2016

Wyniki wyszukiwania

Quasiorder lattices are five-generated