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Varieties of Posets

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Abstract

We introduce and investigate the notion of a homomorphism, of a congruence relation, of a substructure of a poset and consequently the notion of a variety of posets. These notions are consistent with those used in lattice theory and multilattice theory. There are given some properties of the lattice of all varieties of posets.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Natural Sciences, Matej Bell University, Tajovského 40, SK-974 01, Banská Bystrica, Slovakia

    Alfonz Haviar

  2. Institute of Mathematics, P. J. Šafárik University, Jesenná 5, SK-041 54, Košice, Slovakia

    Judita Lihová

  3. Mathematical Institute, Slovak Academy of Sciences, Grešákova 6, SK-040 01, Košice, Slovakia

    Judita Lihová

Authors
  1. Alfonz Haviar
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  2. Judita Lihová
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Correspondence to Judita Lihová.

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Haviar, A., Lihová, J. Varieties of Posets. Order 22, 343–356 (2005). https://doi.org/10.1007/s11083-005-9023-8

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  • DOI: https://doi.org/10.1007/s11083-005-9023-8

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