Journal of the Australian Mathematical Society - Series A Vol. 65 Part 3 (1998) Covering in the lattice of subuniverses of a finite distributive lattice Zsolt Lengvárszky Department of Computer Science University of South Carolina Columbia, SC 29208. USA and George F. McNulty Department of Mathematics University of South Carolina Columbia, SC 29208. USA Abstract: The covering relation in the lattice of subuniverses of a finite distributive lattice is characterized in terms of how new elements in a covering sublattice fit with the sublattice covered. In general, although the lattice of subuniverses of a finite distributive lattice will not be modular, nevertheless we are able to show that certain instances of Dedekind's Transposition Principle still hold. Weakly independent maps play a key role in our arguments. PDF file size: 145K © Copyright 1998, Australian Mathematical Society