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Employing the relationship between FP-projective modules and projective modules,this paper connects FP-projective dimensions and projective dimensions.

在投射维数的基础上,给出了FP-投射维数的概念,并利用FP-投射模和投射模的关系,将FP-投射维数与投射维数联系起来,讨论了FP-投射维数的性质,同时给出了一些重要的等价命题。

The main problems solved are that the flat decompositions are generalized to FP-flat decompositions,and some important properties of FP-flat modulus are described through dimensions in another way.

解决的主要问题是把模的平坦分解推广为FP-平坦分解,利用维数从另一个角度来描述FP-平坦模的一些重要性质。

In this paper,we mainly discuss some relative properties of FG-injective modules and FP-injective modules,research emphasizely their properties in coherent rings and FG-IF rings.

本文主要讨论了FG-内射模与FP-内射模的一些相关性质,重点研究了FG-内射模在凝聚环、FG-IF环上的性质,同时也给出了二者之间的关系,即FG-内射模是FP-内射模,并且二者在Noether环上彼此等价,都等价于内射模。