Induced orthogonality in semilattices with 0 and in pseudocomplemented lattices and posets

Ivan Chajda, Miroslav Kolařík, Helmut Länger

On an arbitrary meet-semilattice S with 0 we define an orthogonality relation and investigate the lattice Cl(S) of all subsets of S closed under this orthogonality. We show that if…