ABSTRACT
Throughout, let G be a lattice-ordered group (/-group). As in [1], let 11(G) be the set of prime subgroups, IIm(G) the set of minimal prime subgroups, Z(G) the set of z-subgroups, P(G) the set of polar subgroups, C(G) the lattice of convex /-subgroups, and T(G) the set of values. As in [2], let N(G) be the complete sublattice of C(G) generated by P(G). The elements of N(G) are called А-subgroups of G. If 0 ф g Є G and M is a maximal A-subgroup without g, then M is called a А-regular subgroup of G and a A-value of g. Let r^(G ) be the set of А-regular subgroups of G. For any ф ф A Ç G, let n(A) be the smallest А-subgroup that contains A.
