Abstract
We present a bijective correspondence between congruences of semilattices with sectionally finite height (i.e., meet-semilattices whose principal downsets have finite length) and certain special subsets of their universes. We characterize these subsets from a purely order-theoretic point of view and prove that the bijection coincides with the Leibniz operator of abstract algebraic logic.
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Presented by J. Raftery.
The authors were partially funded by the research project MTM2011-25747 from the government of Spain, which includes feder funds from the European Union; and the research grant 2009SGR-1433 from the government of Catalonia.
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Font, J.M., Moraschini, T. A note on congruences of semilattices with sectionally finite height. Algebra Univers. 72, 287–293 (2014). https://doi.org/10.1007/s00012-014-0300-5
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DOI: https://doi.org/10.1007/s00012-014-0300-5