Reflexivity of bilattices
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We study reflexivity of bilattices. Some examples of reflexive and non-reflexive bilattices are given. With a given subspace lattice ℒ we may associate a bilattice Σℒ. Similarly, having a bilattice Σ we may construct a subspace lattice Σℒ. 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.
Keywordsreflexive algebra reflexive lattice subspace lattice bilattice
MSC 201047A15 47L99
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