Reflexivity of bilattices |
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Authors: | Kamila Kliś-Garlicka |
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Affiliation: | 1. Institute of Mathematics, University of Agriculture, Ul. Balicka 253c, 30-198, Kraków, Poland
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Abstract: | We study reflexivity of bilattices. Some examples of reflexive and non-reflexive bilattices are given. With a given subspace lattice ? we may associate a bilattice Σ?. Similarly, having a bilattice Σ we may construct a subspace lattice Σ?. 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. |
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