关于FP-内射覆盖的几点注记  

Notes on FP-injective Covers

作　　者：俱鹏岳[1] 王欣欣[2] 

机构地区：[1]陇东学院数学系,甘肃庆阳745000 [2]西北师范大学数学与信息科学学院,甘肃兰州730070

出　　处：《绍兴文理学院学报》2010年第7期17-20,共4页Journal of Shaoxing University

摘　　要：给出了在推出图中FP-内射包络和FP-投射覆盖的关系,证明了若每个R-模有单的FP-内射(预)覆盖,则FP-内射模类关于正向极限封闭,同时给出了在分式环上FP-内射模和FP-投射模的一些性质.The relation between FP - injeetive envelopes and FP - projective covers is given in this paper. It is proved that if every R - module has a monic FP - injeetive （pre）eovers,then the class of FP - injective modules is closed within direct limits. The paper finally discusses some properties of FP - injective modules and FP -projeetive modules over the ring of fractions.

关 键 词：FP-内射模 FP-投射模 (预)包络 (预)覆盖 

分 类 号：O153.3[理学—数学]