Czechoslovak Mathematical Journal

, Volume 63, Issue 4, pp 995–1000 | Cite as

Reflexivity of bilattices

Article

Abstract

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 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.

Keywords

reflexive algebra reflexive lattice subspace lattice bilattice 

MSC 2010

47A15 47L99 

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Copyright information

© Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic 2013

Authors and Affiliations

  1. 1.Institute of MathematicsUniversity of AgricultureKrakówPoland

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