Note on $\alpha $-complete congruences of $\alpha $-complete lattices

The present note is an Erratum for the two theorems of the paper "Congruences and ideals in a distributive lattice with respect to a derivation" by M. Sambasiva Rao.

On congruences of $G$ -sets

Boris M. Vernikov (1997)

Commentationes Mathematicae Universitatis Carolinae

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We describe $G$ -sets whose congruences satisfy some natural lattice or multiplicative restrictions. In particular, we determine $G$ -sets with distributive, arguesian, modular, upper or lower semimodular congruence lattice as well as congruence $n$ -permutable $G$ -sets for $n = 2, 2.5, 3$ .

A note on congruence lattices of distributive $p$ -algebras.

Beazer, R. (1994)

Acta Mathematica Universitatis Comenianae. New Series

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