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arXiv · 2208.02142

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

G. Grätzer
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Abstract

A new result of G. Cz\'edli 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 1960-s.

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G. Grätzer. 2022-08-03. Homomorphisms and principal congruences of bounded lattices. III. The Independence Theorem. https://arxiv.org/abs/2208.02142

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