Minimal Prime Subgroups of an l-Group

Abstract:

      In this paper, we investigate minimal prime subgroups of an l-group and prove the following results: Let G be an l-group. (1) N ∈Γ_m(G) , then N= a^⊥ iff {P_N^C} is an inductive set; (2) g ∈ G⁺ , if g is special and its unique value is an atom, then g^⊥∈Γ_m(G) ;(3) G ∈ B_w,Γ₁(G) is atomic iff Γ_m(G)?Γ₁(G) .