Congruence lattices of intransitive G-Sets and flat M-Sets

Steve Seif

Displaying similar documents to “Congruence lattices of intransitive G-Sets and flat M-Sets”

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 $n = 2, 2.5, 3$ .

Congruence representations of join-homomorphisms of distributive lattices: a short proof

George Grätzer, Harry Lakser, E. Tamás Schmidt (1996)

Mathematica Slovaca

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A visual approach to test lattices

Gábor Czédli (2009)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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Let $p$ be a $k$ -ary lattice term. A $k$ -pointed lattice $L = (L; \lor, \land$ , $d_{1}, ..., d_{k})$ will be called a $p$ -lattice (or a test lattice if $p$ is not specified), if $(L; \lor, \land)$ is generated by ${d_{1}, ..., d_{k}}$ and, in addition, for any $k$ -ary lattice term $q$ satisfying $p (d_{1}, ..., d_{k})$ $\leq$ $q (d_{1}$ , $..., d_{k})$ in $L$ , the lattice identity $p \leq q$ holds in all lattices. In an elementary visual way, we construct a finite $p$ -lattice $L (p)$ for each $p$ . If $p$ is a canonical lattice term, then $L (p)$ coincides with the optimal $p$ -lattice of Freese, Ježek and Nation [Freese,...

Displaying similar documents to “Congruence lattices of intransitive G-Sets and flat M-Sets”

On congruences of G -sets

Congruence representations of join-homomorphisms of distributive lattices: a short proof

A visual approach to test lattices

On congruences of $G$ -sets