Congruence FD-maximal varieties of algebras

Abstract

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 as large as allowed by an obvious necessary condition, the variety is called congruence FD-maximal. The main results of this paper characterize some special congruence FD-maximal varieties.

References in corpus (3)

• A solution to Dilworth's Congruence Lattice Problem
• Critical points between varieties generated by subspace lattices of vector spaces
• The possible values of critical points between varieties of lattices