中文摘要：

Shimura has studied the structure of the Hecke ring R(Δ,Γ) in the case Γ=SLn(Z)andΔΓis a subsemigroup of G =GLn(Q).Letpbe a prime and letΓ =GLn(Zp) Δ G =GLn( p),whereΔis a semigroup. In this paper, we shall determine the structure of the Hecke ringR(Δ,Γ)and its some properties.

英文摘要：

Shimura has studied the structure of the Hecke ring R（A,F） in the case F = SLn（Z ） and △ Гis a subsemigroup of G =GLn（Q）. Let p be a prime and let Г = GLn（Zp） △ G = GLn（ Qp）, where A is a semigroup. In this paper, we shall determine the structure of the Hecke ring R（△,Г） and its some properties.