n-FP内射覆盖和预包络模（英文）

n-FP-injective covers and preenvelopes of modules

研究了n-FP内射模.假定环R是左n凝聚和预包络的,证明了一类n-FP内射左R模是覆盖的.此外,研究了n-FP内射预覆盖诱导的左维数和n-FP内射预包络诱导的右维数.

In this paper,the n-FP-injective modules are studied.A class of n-FP-injective left R-modules is proved to be covering provided that R is left n-coherent and is preenveloping over any ring.Furthermore,the left FIn-dimension induced by n-FP-injective precovers and the right FI n-dimension induced by n-FP-injective preenvelopes are investigated.