Characteristic triangles of closure operators with applications in general algebra
The aim of this paper is to investigate groups and their weak congruence lattices in the abstract setting of lattices \(L\) with (local) closure operators \(C\) in the categorical sense, where \(L\) is regarded as a small category and \(C\) is a family of closure maps on the principal ideals of \(L\). A useful tool for structural investigations of such lattices with closure is the so-called characteristic triangle, a certain substructure of the square \( L^2\).
scientific article; zbMATH DE number 5782715
scientific article