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Diagram induced properties of congruence lattices

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Abstract

We investigate dual spaces of congruence lattices of algebras in a congruence-distributive variety \({\mathcal V}\). Our aim is to connect topological properties of these spaces with diagrams of finite \((\vee ,0)\)-semilattices liftable in \({\mathcal V}\). We achieve this aim for diagrams indexed by finite trees.

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Authors and Affiliations

  1. Institute of Mathematics, Šafárik’s University, Jesenná 5, 04154, Košice, Slovakia

    Miroslav Ploščica

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  1. Miroslav Ploščica
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Correspondence to Miroslav Ploščica.

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Presented by G. Czédli.

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Ploščica, M. Diagram induced properties of congruence lattices. Algebra Univers. 82, 34 (2021). https://doi.org/10.1007/s00012-021-00723-8

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  • DOI: https://doi.org/10.1007/s00012-021-00723-8

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