Covering in the Lattice of Subuniverses of a Finite Distributive Lattice
نویسندگان
چکیده
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. 1991 Mathematics subject classification (Amer. Math. Soc.): primary 06B05.
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تاریخ انتشار 1998