Two partial orders on the set of antichains. / Crampton, J.; Loizou, G.


Research output: Working paper



Given a poset $X$, we define two partial orders on the set of antichains of $X$. We prove that the two resulting posets $langle A(X) preccurlyeq and $langle A(X) preccurlyeq' are lattices which are isomorphic to the lattice of order ideals of $X$, $langle I(X) subseteq . We also establish the meet and join operations of the two resulting lattices.
Original languageEnglish
Publication statusPublished - 2000

ID: 1274205