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Article Dans Une Revue Order Année : 2003

Embedding finite lattices into finite biatomic lattices

Résumé

For a class C of finite lattices, the question arises whether any lattice in C can be embedded into some atomistic, biatomic lattice in C. We provide answers to the question above for C being, respectively, ---The class of all finite lattices; ---The class of all finite lower bounded lattices (solved by the first author's earlier work). ---The class of all finite join-semidistributive lattices (this problem was, until now, open). We solve the latter problem by finding a quasi-identity valid in all finite, atomistic, biatomic, join-semidistributive lattices but not in all finite join-semidistributive lattices.
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Dates et versions

hal-00004018 , version 1 (21-01-2005)

Identifiants

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Kira Adaricheva, Friedrich Wehrung. Embedding finite lattices into finite biatomic lattices. Order, 2003, 20 (1), pp.31--48. ⟨10.1023/A:1024463510392⟩. ⟨hal-00004018⟩
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