左wGF-封闭环上的弱Gorenstein平坦模  

Weak Gorenstein Flat Modules Under the Left wGF-Closed Rings

作　　者：王修建[1,2] 杜先能[2] 

机构地区：[1]皖西学院应用数学学院,安徽六安237012 [2]安徽大学数学科学学院,合肥230039

出　　处：《应用数学和力学》2013年第5期518-524,共7页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(11126173)

摘　　要：利用同调代数的工具,主要证明了弱Gorenstein平坦模类为投射预解的当且仅当它是扩张封闭的,进一步的刻画了左wGF-封闭环上弱Gorenstein平坦模的一些性质,这些内容丰富了D.Bennis等人的研究结果.Using homological methods, it is proved that the class of the weak Gorenstein flat modules was projectively resolving if and only if it was closed under extensions. Furthermore, some properties of weak Gorenstein flat modules under the wGF rings were also given, which generalized the results of D. Bennis and so on.

关 键 词：弱-Gorenstein平坦 Gorenstein平坦 左wGF-封闭环 投射预解 

分 类 号：O153.3[理学—数学]