2 papers
math.GM2005
Congruence lattices of free lattices in non-distributive varieties
Miroslav Ploscica, Jiri Tuma, Friedrich Wehrung
We prove that for any free lattice F with at least generators in any non-distributive variety of lattices, there exists no sectionally complemented lattice L with congr…
math.RA2001
Balanced d-lattices are complemented
Martin Goldstern, Miroslav Ploscica
We show that all balanced d-lattices must be complemented, answering a question of Chajda and Eigenthaler. (A bounded lattice is balanced if any two congruences agree on their 1-cl…