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Homomorphisms and principal congruences of bounded lattices. III. The Independence Theorem

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Abstract

A new result of G. Czédli states that for an ordered set P with at least two elements and a group G, there exists a bounded lattice L such that the ordered set of principal congruences of L is isomorphic to P and the automorphism group of L is isomorphic to G.

I provide an alternative proof utilizing a result of mine with J. Sichler from the late 1990s.

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  1. Department of Mathematics, University of Manitoba, Winnipeg, MB, R3T 2N2, Canada

    G. Grätzer

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  1. G. Grätzer
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Correspondence to G. Grätzer.

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Presented by M. Ploscica.

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Grätzer, G. Homomorphisms and principal congruences of bounded lattices. III. The Independence Theorem. Algebra Univers. 78, 297–301 (2017). https://doi.org/10.1007/s00012-017-0462-z

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  • DOI: https://doi.org/10.1007/s00012-017-0462-z

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