M. Morvan and L. Nourine. Sur la distributivite du treillis des anticha ^nes maximales d'un ensemble ordonne. C.R. Acad. Sci., t. 317S erie I:129-133, 1993. Home/Search Document Not in Database Summary Related Articles |
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Linear Time Recognition Algorithm for Distributive Lattices - Habib, Nourine (1998) Self-citation (Nourine) (Correct)
....The reverse map is given by 1 : j (Ln j) The Figure 1 shows a geometric interpretation of the isomorphism . This result play a crucial role in the study of distributive lattices. Indeed, it has been recently used to characterize distributivity of maximal antichains lattices of an order [15]. The nice property coming out of it, is the partitioning of distributive lattices into sublattices, which yields immediately recursive algorithms. Without loss of generality, we will show that any distributive lattice can be divided into two sublattices, such that the small one is isomorphic to a ....
M. Morvan and L. Nourine. Sur la distributivite du treillis des anticha ^nes maximales d'un ensemble ordonne. C.R. Acad. Sci., t. 317S erie I:129-133, 1993.
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