Displaying similar documents to “On the structure of quasi-ordering lattices”

Finite orders and their minimal strict completion lattices

Gabriela Hauser Bordalo, Bernard Monjardet (2003)

Discussiones Mathematicae - General Algebra and Applications

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Whereas the Dedekind-MacNeille completion D(P) of a poset P is the minimal lattice L such that every element of L is a join of elements of P, the minimal strict completion D(P)∗ is the minimal lattice L such that the poset of join-irreducible elements of L is isomorphic to P. (These two completions are the same if every element of P is join-irreducible). In this paper we study lattices which are minimal strict completions of finite orders. Such lattices are in one-to-one correspondence...

IC-lattices

Janowitz, M.F. (1965)

Portugaliae mathematica

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