Divisible TL-subgroups and pure TL-subgroups

Abstract As a continuation of the study of divisible and pure fuzzy subgroups (see Sidky and Mishref, 1990), we introduce the concepts of divisible TL -subgroups and pure TL -subgroups of an additive group, where T is an arbitrary infinitely ∨-distributive t-norm on a given complete Brouwerian lattice L , and show some of their properties.