XG-投射模  

XG-Projective modules

作　　者：乔虎生[1] 汪军鹏[1] 

机构地区：[1]西北师范大学数学与信息科学学院,甘肃兰州730070

出　　处：《西北师范大学学报（自然科学版）》2010年第1期10-13,21,共5页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(10901129)

摘　　要：设X是任一模类,本文引入XG-投射模的概念,给出了一般环上XG-投射模的等价刻画,并研究了XG-投射模类的投射可解性.作为应用,给出了强Gorenstein平坦模的等价刻画,并且证明了任意环上的强Gorenstein平坦模类是投射可解的.Let x be a class of modules. xy-Projective modules are introduced, and the equivalent characterizations of xy-projective modules and its projectively resolving properties are studied. As their applications, some characterizations of strongly Gorenstein flat modules over any rings are given, and it is proved that the class of all strongly Gorenstein flat modules over any rings is projectively resolving.

关 键 词：XG-投射模 强Gorenstein平坦模 投射可解性 

分 类 号：O153.3[理学—数学]