caa a22 4500 388046376 CHVBK 20180307125039.0 cr unu---uuuuu 161130e199812 xx s 000 0 eng 10.1017/S1446788700035928 doi S1446788700035928 pii (NATIONALLICENCE)cambridge-10.1017/S1446788700035928 Covering in the lattice of subuniverses of a finite distributive lattice [Elektronische Daten] The covering relation in the lattice of subuniverses of a finite distributive lattices 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. Copyright © Australian Mathematical Society 1998 primary 06B05 nationallicence distributive lattice nationallicence sublattice nationallicence covering nationallicence maximal sublattice nationallicence Lengvárszky Zsolt Department of Computer Science, University of South Carolina, Columbia, SC 29208., USA e-mail: zlengvar@cs.sc.edu McNulty George F. Department of Mathematics, University of South Carolina, Columbia, SC 29208. USA e-mail: mcnulty@math.sc.edu Journal of the Australian Mathematical Society Cambridge University Press 65/3(1998-12), 333-353 1446-7887 65:3<333 1998 65 JAZ https://doi.org/10.1017/S1446788700035928 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S1446788700035928 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lengvárszky Zsolt Department of Computer Science, University of South Carolina, Columbia, SC 29208., USA e-mail: zlengvar@cs.sc.edu NATIONALLICENCE 700 1- McNulty George F. Department of Mathematics, University of South Carolina, Columbia, SC 29208. USA e-mail: mcnulty@math.sc.edu NATIONALLICENCE 773 0- Journal of the Australian Mathematical Society Cambridge University Press 65/3(1998-12), 333-353 1446-7887 65:3<333 1998 65 JAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge