弱投射维数  

Weak projective dimensions

作　　者：陈永明 杨晓燕 Chen Yongming;Yang Xiaoyan(Department of Mathematics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]西北师范大学数学系,甘肃兰州730070

出　　处：《纯粹数学与应用数学》2020年第1期43-49,共7页Pure and Applied Mathematics

基　　金：国家自然科学基金(11761060).

摘　　要：引入了弱投射模及弱投射维数的概念,说明弱投射模是FP-投射模的真子类.给出了环的整体弱投射维数的刻画,并得到了凝聚环和Noether的一些新的同调刻画.In the article, we introduce the notions of weak projective modules and weak projective dimensions of rings and modules;show that the class of weak projective modules are strictly contained in that of FP-projective modules. We give a characterizations of the global weak projective dimensions of rings;and obtain some new homological characterizations of coherent rings and Noether rings.

关 键 词：弱投射模 弱投射维数 凝聚环 NOETHER环 

分 类 号：O153.3[理学—数学]