Covering in the lattice of subuniverses of a finite distributive lattice

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Covering in the Lattice of Subuniverses of a Finite Distributive Lattice

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...

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ژورنال

عنوان ژورنال: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics

سال: 1998

ISSN: 0263-6115

DOI: 10.1017/s1446788700035928