关于FP-投射维数的若干性质  

On Several Properties of FP-Projective Dimensions

作　　者：黄影[1] 

机构地区：[1]沈阳师范大学数学与系统科学学院,辽宁沈阳110034

出　　处：《沈阳师范大学学报（自然科学版）》2008年第1期39-41,共3页Journal of Shenyang Normal University:Natural Science Edition

摘　　要：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.解决的主要问题是把模的投射分解推广为FP-投射分解,利用维数从另一个角度来描述FP-投射模的一些重要性质.The concept of FP-projective dimensions is given here based on projective dimensions. Employing the relationship between FP-projective modules and projective modules, this paper connects FP-projective dimensions and proiective dimensions. Thus the properties of FP-projective dimensions as well as some important equivalent propositions are also given. The main problems solved are as follow, the projective decompositions are generalized to FP-projective decompositions, and .some important properties of FP-projective modules are described through dimensions in another way.

关 键 词：FP-投射维数 FP-投射分解 FP-投射模 

分 类 号：O153[理学—数学]