ρ—半单Γ_(0)—环的结构

Structure of ρ-semisimple Γ_(0)-Rings

本文首先定义了Γ一环的ρ一理想,从而引入了ρ一根;并且定义了乘法使得 End(M_(ΓR))成为Γ一环,并得到了具有一定条件的ρ一半单Γ(?)一环的结构定理.

In this paper we proved that R is a ρ-semisimple Γ_0-ring if andonly if R is a direct sum of finitely many ρ-semple ideal subringof Γ_0-Ring R.If R is a ρ-semisimple Γ_0-ring,then there exist strongly idempetent elements {e_iα_i}andρ-simple ringsR_i such thatR(?)End(M_iг_0D_i)M_i=〈R_iα_ie_i〉〉~ρ,and D_i=〈e_iα_iR_iα_ie_i〉~ρ.