关于投射子内射模  

On Projective Subinjective Modules

作　　者：黄智强[1] 周德旭[1] HUANG Zhi-qiang ZHOU De-xu(College of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350117, China)

机构地区：[1]福建师范大学数学与计算机科学学院,福建福州350117

出　　处：《福建师范大学学报（自然科学版）》2016年第6期13-18,共6页Journal of Fujian Normal University：Natural Science Edition

基　　金：福建省自然科学基金资助项目(2015J01002)

摘　　要：引入投射子内射模的概念,给出了投射子内射模的若干性质,得到了QF环,右Noetherian右遗传环,以及单右R-模是投射子内射模的右完全环的若干等价刻画,并研究了投射子内射模在几乎优越扩张下的若干等价条件.It introduces the concept of projective subinjective modules, give some properties of projective subinjective modules, obtain some equivalent characterizations of QF rings, right Noether-Jan and right hereditary rings, and right perfect rings over which every simple right module is projective subinjective. Under an almost excellent of rings, it investigates some equivalent conditions of projective subinjective modules.

关 键 词：投射子内射模 QF环 遗传环 补模 几乎优越扩张 

分 类 号：O153.3[理学—数学]