Products of Lattice Varieties

  title={Products of Lattice Varieties},
  author={David Kelly},
Let V and W be varieties of lattices. The product of V and W, denoted by VoW, consists of all lattice L for which there is a congruence relation B such that every congruence class of B (as a lattice) is in V and LIB is in W. The corresponding concept for varieties of groups was extensively studied in H. Neumann [12] and extended to universal algebras by A. I. Marcev [11]. The main result of this paper (Theorems 2 and 3) shows how we can select a "nice" subclass of VoW into which every member of… CONTINUE READING