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Covering in the lattice of subuniverses of a finite distributive lattice
Published online by Cambridge University Press: 09 April 2009
Abstract
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.
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- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 65 , Issue 3 , December 1998 , pp. 333 - 353
- Copyright
- Copyright © Australian Mathematical Society 1998
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