39 citations · 71 across the 16 of their papers we have counts for
5 papers · 1 filter
Pseudo-loop conditions
Pierre Gillibert, Julius Jonušas, Michael Pinsker
We initiate the systematic study of loop conditions of arbitrary finite width. Each loop condition is a finite set of identities of a particular shape, and satisfaction of these id…
Finite Abelian algebras are fully dualizable
Wolfram Bentz, Pierre Gillibert, Luís Sequeira
We show that every finite Abelian algebra A from congruence-permutable varieties admits a full duality. In the process, we prove that A also allows a strong duality, and that the d…
Finite Abelian algebras are dualizable
Pierre Gillibert
A finite algebra $\bA=\alg{A;\cF}$ is \emph{dualizable} if there exists a discrete topological relational structure $\BA=\alg{A;\cG;\cT}$, compatible with $\cF$, such that the cano…
Congruence FD-maximal varieties of algebras
Pierre Gillibert, Miroslav Ploscica
We study the class of finite lattices that are isomorphic to the congruence lattices of algebras from a given finitely generated congruence-distributive variety. If this class is a…
Critical points of pairs of varieties of algebras
Pierre Gillibert
For a class V of algebras, denote by Conc(V) the class of all semilattices isomorphic to the semilattice Conc(A) of all compact congruences of A, for some A in V. For classes V1 an…