Algebra universalis

, Volume 68, Issue 3–4, pp 293–294 | Cite as

Complete atomistic lattices are classification lattices



We prove that each complete atomistic lattice G is isomorphic to the lattice of classification systems of an appropriate complete atomistic lattice L. This implies an affirmative solution to a problem raised by S. Radeleczki in 2002.

2010 Mathematics Subject Classification

Primary: 06B05 06B15 Secondary: 06C10 

Key words and phrases

complete atomistic lattice classification system classification lattice 


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Copyright information

© Springer Basel 2012

Authors and Affiliations

  1. 1.Department of MathematicsHebei UniversityBaodingChina

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