Geodesic
Hyperreflexivity of bilattices
Czechoslovak Mathematical Journal, Tome 66 (2016) no. 1, pp. 119-125
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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 $\mathcal {L}$ we can construct the bilattice $\Sigma _{\mathcal {L}}$. Similarly, having a bilattice $\Sigma $ we may consider the lattice $\mathcal {L}_{\Sigma }$. 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.
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 $\mathcal {L}$ we can construct the bilattice $\Sigma _{\mathcal {L}}$. Similarly, having a bilattice $\Sigma $ we may consider the lattice $\mathcal {L}_{\Sigma }$. 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
Keywords: 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

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