Geodesic
Hyperreflexivity of bilattices
Czechoslovak Mathematical Journal, Tome 66 (2016) no. 1, pp. 119-125.

Voir la notice de l'article dans Czech Digital Mathematics Library

The notion of a bilattice was introduced by Shulman. A bilattice is a subspace analogue for a lattice. In this work the definition of hyperreflexivity for bilattices is given and studied. We give some general results concerning this notion. To a given lattice L we can construct the bilattice ΣL. Similarly, having a bilattice Σ we may consider the lattice LΣ. In this paper we study the relationship between hyperreflexivity of subspace lattices and of their associated bilattices. Some examples of hyperreflexive or not hyperreflexive bilattices are given.
DOI : 10.1007/s10587-016-0244-3
Classification : 47A15, 47L99
Mots-clés : reflexive bilattice; hyperreflexive bilattice; subspace lattice; bilattice 
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Kliś-Garlicka, Kamila. Hyperreflexivity of bilattices. Czechoslovak Mathematical Journal, Tome 66 (2016) no. 1, pp. 119-125. doi : 10.1007/s10587-016-0244-3. https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-016-0244-3/

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