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Iterative separation in distributive congruence lattices

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Mathematica Slovaca

Abstract

In [PLOŠČICA, M.: Separation in distributive congruence lattices, Algebra Universalis 49 (2003), 1–12] we defined separable sets in algebraic lattices and showed a close connection between the types of non-separable sets in congruence lattices of algebras in a finitely generated congruence distributive variety

and the structure of subdirectly irreducible algebras in

. Now we generalize these results using the concept of separable mappings (defined on some trees) and apply them to some lattice varieties.

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References

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Authors and Affiliations

  1. Mathematical Institute, Slovak Academy of Sciences, Grešákova 6, SK-04001, Košice, Slovakia

    Miroslav Ploščica

  2. Institute of Mathematics, P. J. Šafárik University, Jesenná 5, SK-04154, Košice, Slovakia

    Miroslav Ploščica

Authors
  1. Miroslav Ploščica
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Correspondence to Miroslav Ploščica.

Additional information

(Communicated by Tibor Katriňák)

Supported by VEGA Grants 2/4134/24, 2/7141/27, and INTAS Grant 03-51-4110.

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Ploščica, M. Iterative separation in distributive congruence lattices. Math. Slovaca 59, 221–230 (2009). https://doi.org/10.2478/s12175-009-0119-2

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  • DOI: https://doi.org/10.2478/s12175-009-0119-2

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