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A note on representation of lattices by weak congruences

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Abstract

A weak congruence is a symmetric, transitive, and compatible relation. An element u of an algebraic lattice L is Δ-suitable if there is an isomorphism κ from L to the lattice of weak congruences of an algebra such that κ(u) is the diagonal relation. Some conditions implying the Δ-suitability of u are presented.

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Authors and Affiliations

  1. Department of Mathematics and Informatics, University of Novi Sad, Novi Sad, Serbia

    Branimir Šešelja

  2. Faculty of Agriculture, University of Belgrade, Belgrade, Serbia

    Vanja Stepanović

  3. Department of Mathematics and Informatics, University of Novi Sad, Novi Sad, Serbia

    Andreja Tepavčević

Authors
  1. Branimir Šešelja
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  2. Vanja Stepanović
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  3. Andreja Tepavčević
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Corresponding author

Correspondence to Branimir Šešelja.

Additional information

Presented by G. Czedli.

This research of the first and the third author was supported by the Serbian Ministry of Science and Environment, Grant No. 174013.

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Šešelja, B., Stepanović, V. & Tepavčević, A. A note on representation of lattices by weak congruences. Algebra Univers. 68, 287–291 (2012). https://doi.org/10.1007/s00012-012-0206-z

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  • DOI: https://doi.org/10.1007/s00012-012-0206-z

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