Lattices with large minimal extensions |
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| Authors: | Ralph Freese Jaroslav Ježek J. B. Nation |
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| Affiliation: | (1) Department of Mathematics, University of Hawaii, Honolulu, HI 96822, USA, e-mail: ralph@math.hawaii.edu, jb@math.hawaii.edu, US;(2) Charles University, Sokolovská 83, 186 00 Praha 8, Czech Republic, e-mail: jezek@karlin.mff.cuni.cz, CZ |
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| Abstract: | This paper characterizes those finite lattices which are a maximal sublattice of an infinite lattice. There are 145 minimal lattices with this property, and a finite lattice has an infinite minimal extension if and only if it contains one of these 145 as a sublattice. Received October 5, 1998; accepted in final form May 19, 1999. |
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