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Algebra universalis

, Volume 70, Issue 1, pp 95–105 | Cite as

The order of principal congruences of a bounded lattice

  • G. Grätzer
Article

Abstract

We characterize the order of principal congruences of a bounded lattice (also of a complete lattice and of a lattice of length 5) as a bounded ordered set. We also state a number of open problems in this new field.

2010 Mathematics Subject Classification

Primary: 06B10 Secondary: 06A06 

Key words and phrases

principal congruence order 

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Copyright information

© Springer Basel 2013

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of ManitobaWinnipegCanada

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