有限维的Noether FP-环

NOETHERIAN FP-RINGS OF FINITE DIMENSION

设R是一个右整体维数有限的右NoetherFP-环,给出R是整环的充分且必要条件;讨论论了R在小同调维数时的结构。

Let R be a right Noetherian FP-ring with right finite global dimension. The sufficient and necessary conditions for R to be a domain ring are given. The structure of R with small homological dimension is discussed.