Algebraic maximal semilattices
James W. Stepp · Pacific Journal of Mathematics · 1975
A topological semigroup S is maximal if it is closed in each topological semigroup that contains it.The semigroup S is called absolutely maximal if each continuous image is maximal.In this paper we are concerned with those discrete semilattices that are absolutely maximal.Thus we are concerned with those algebraic conditions on a semilattice which force it to be topologically closed.