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Largest extension of a finite convex geometry
Authors:K. V. Adaricheva  J. B. Nation
Affiliation:(1) Department of Mathematics, Harold Washington College, 30 East Lake St., Chicago, Illinois 60601, USA;(2) Department of Mathematics, University of Hawaii, Honolulu, Hawaii 96822, USA
Abstract:We present a new embedding of a finite join-semidistributive lattice into a finite atomistic join-semidistributive lattice. This embedding turns out to be the largest extension, when applied to a finite convex geometry.In Celebration of the Sixtieth Birthday of Ralph N. McKenzieReceived September 18, 2002; accepted in final form September 29, 2003.
Keywords:06B05  06B15
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