在中心上有限生成的右Noether环的同调性质

THE HOMOLOGICAL PROPORTIES OF RIGHT NOETHERIAN RING WHICH IS FINITELY GENERATED OVER THEIR CENTRES

设R是右Noether环,讨论了R的理想的级数与秩的关系,同时给出了R作为中心Macaulay环的充分必要条件。

Suppose that R is a right Noetherian ring. In this paper, the relations between an ideal's grade and rank of R are inverstigated, and the sufficient and necessary conditions, that R is a central Macaulay ring are given.