中文摘要：

设R是交换环，n是非负整数，令Ff≤Cn（F≤Cn）是C-FP-内射维数（C-平坦维数）不超过n的模类．证明当R是凝聚环且FP-idR（R）≤n时，（Ff≤Cn,Ff≤Cn⊥）是AC（R）中完全遗传的余挠对,给出罗手F≤Cn-预包络和Ff≤Cn-预覆盖的一些刻画．

英文摘要：

Let R be a commutative ring,n a non-negative integer and Ff≤Cn（F≤Cn） the C-FP-injective（C- flat） modules with dimension equal to or less than n. In this paper we proved that （Ff≤Cn,Ff≤Cn⊥） would be a perfect hereditary cotorsion pair in AC （R） whenever R were a coherent ring with FP-idR （R）≤n. Meantime, Some characterizations of F≤Cn-preenvelope and Ff≤Cn-precover were given.