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À propos des treillis faiblement complémentés. (On weakly complemented lattices). (French) Zbl 0771.06005
Author’s abstract: Answering two problems of J. Varlet [Structures algébriques ordonnées, Liège (1974; Zbl 0358.06010)], we prove that 1) the homomorphic image of an algebraic weakly complemented lattice need not be weakly complemented, and 2) it is not true that in a weakly complemented lattice the elements can be separated from the filters by maximal filters.
Reviewer: F.Šik (Brno)
MSC:
06C15 Complemented lattices, orthocomplemented lattices and posets
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