Lattice isomorphisms of orthodox semigroups
Katherine G. Johnston, F.D. Cleary · Bulletin of the Australian Mathematical Society · 1992
It is shown that the set of all orthodox subsemigroups of an orthodox semigroup forms a lattice. This lattice is a join-sublattice of the lattice of all semigroups, but is not in general a meet-sublattice. We obtain results concerning lattice isomorphisms between orthodox semigroups, several of which include known results for inverse semigroups as special cases.