关于Γ-环的稠密性定理

Let U be an Γ-ring and M be an irreducible UΓ-moduie, for α∈U, α∈Γ, we define T_a,a]: M→M by m T_a,a] = maa for all m∈M. Let End(M) be the ring of all endomorphisms of the additive group of M. We define as usual End_Γ,U](M)=={ψ∈End(M)|T_Σai,ai]ψ=ψT_Σai,ai] all a_i∈U,a_i∈Γ}. In this paper the following results are obtained.