关于环的相伴性质

On the Associated Property over Rings

通过对环上(P)性质与平坦模关系的讨论,把文献(CommutativeCoherentRings[M].Berlin:HeidlbergSpringer Verlag,1989.)中的局部环上关于(P)性质的结论推广到了任意环上,从而使原来的结论变成了现在结论的特殊情况.并且讨论了满足(P)性质的环,并通过具体的例子作了说明.

In this article, by the discussion of (P) property over rings with the flat module, we extend some conclusions of local rings (Commutative Coherent Rings[M]. Berlin:Heidlberg Springer-Verlag,1989.) to all rings, so the old conclusions become special cases of new ones. We make the discussion of rings with (P) property easier, and clearer via an example.