Congruence FD-maximal varieties of algebras

Pierre Gillibert (1, 2) , Miroslav Ploscica (3)

1 Department of Algebra (MFF-UK)
2 CAUL - Centro de Álgebra da Universidade de Lisboa
3 Institute of Mathematics

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.

Mots clés: distributive lattice; variety; congruence lattice

Domaines: Mathématiques générales [math.GM]

Pierre Gillibert, Miroslav Ploscica. Congruence FD-maximal varieties of algebras. International Journal of Algebra and Computation, 2012, 22 (6), 14 p. ⟨10.1142/S0218196712500531⟩. ⟨hal-00962191⟩