3 problems
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Nonexistence of finitely generated standard elementary extensions of free lattices
Let be the free lattice on generators. An elementary extension is standard if the associated map has range in…
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Jónsson's conjecture for finite semidistributive lattices
Jónsson's conjecture. Every finite lattice that is semidistributive and satisfies Whitman's condition is a sublattice of a free lattice.
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The countable width-two lattice decomposition conjecture
The countable width-two lattice decomposition conjecture. The lattice is semidistributive and