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math.CT2010
Categories of partial algebras for critical points between varieties of algebras
Pierre Gillibert
A lifting of a semilattice S is an algebra A such that the semilattice of compact (=finitely generated) congruences of A is isomorphic to S. The aim of this work is to give a categ…
math.CT2010
From objects to diagrams for ranges of functors
Pierre Gillibert, Friedrich Wehrung
Let A, B, S be categories, let F:A-->S and G:B-->S be functors. We assume that for "many" objects a in A, there exists an object b in B such that F(a) is isomorphic to G(b). We est…
math.CT2008★ 13 cited
Critical points between varieties generated by subspace lattices of vector spaces
Pierre Gillibert
We denote by Conc(A) the semilattice of compact congruences of an algebra A. Given a variety V of algebras, we denote by Conc(V) the class of all semilattices isomorphic to Conc(A)…