Geodesic
Reflexivity of bilattices
Czechoslovak Mathematical Journal, Tome 63 (2013) no. 4, pp. 995-1000.

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We study reflexivity of bilattices. Some examples of reflexive and non-reflexive bilattices are given. With a given subspace lattice $\mathcal {L}$ we may associate a bilattice $\Sigma _{\mathcal {L}}$. Similarly, having a bilattice $\Sigma $ we may construct a subspace lattice $\mathcal {L}_{\Sigma }$. Connections between reflexivity of subspace lattices and associated bilattices are investigated. It is also shown that the direct sum of any two bilattices is never reflexive.
DOI : 10.1007/s10587-013-0067-4
Classification : 47A15, 47L99
Keywords: reflexive algebra; reflexive lattice; subspace lattice; bilattice 
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Kliś-Garlicka, Kamila. Reflexivity of bilattices. Czechoslovak Mathematical Journal, Tome 63 (2013) no. 4, pp. 995-1000. doi : 10.1007/s10587-013-0067-4. http://geodesic.mathdoc.fr/articles/10.1007/s10587-013-0067-4/

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