Largest extension of a finite convex geometry

Springer Science and Business Media LLC - Tập 52 - Trang 185-195 - 2005
K. V. Adaricheva1, J. B. Nation2
1Department of Mathematics, Harold Washington College, Chicago, USA
2Department of Mathematics, University of Hawaii, Honolulu, USA

Tóm tắt

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.