相对n-FP-内射模

Relative n-FP-injective modules

给出了n-FP-内射模的定义,M为左R-模,如果对任意的左R-模N有Ext1(N,M)=0,则称M为n-FP-内射模,作为应用,给出了n-FP-内射模的一些等价条件.

Let R be an associative ring. A left R-module M is called n-FP-injective if Ext1（N, M） = 0 for any left R-module N whose FP-projective dimension ≤ n. As applications, some equivalences of n-FP-injective modules are given.