右有限连通的正则半局部环

RIGHT FINITELY CONNECTED REGULAR SEMILOCAL RINGS

设R是一个右有限连通的正则半局部环。R是一个整环上的全矩阵环的充分必要条件被给出。同时,讨论了小同调维数时,R 的结构。

Let R be a right finitely connected regular semilocal ring.The main aimof this paper is to give out some sufficient and necessary condition for R tobe a matrix ring over a domain.