关于GI平坦模和GF挠模（英文）  

On GI-flat and GF-torsion modules

作　　者：王修建[1] 赵玉娥[2] 杜先能[3] 

机构地区：[1]皖西学院金融与数学学院,安徽六安237012 [2]青岛大学数学科学学院,山东青岛266071 [3]安徽大学数学科学学院,安徽合肥230039

出　　处：《中国科学技术大学学报》2015年第3期193-198,共6页JUSTC

基　　金：Supported by the Key Program of Excellent Youth Foundation of Higher Education in Anhui Province(2013SQRL071ZD);the National Natural Science Foundation for Young Scholars of Anhui Province(1508085QA04)

摘　　要：研究了两类模:GI平坦模和GF挠模,其中,GI表示Gorenstein内射模,GF表示Gorenstein平坦模;刻画了环的两个同调维数,即Gorenstein内射模的最大平坦维数和模的最大GF挠维数.同时也研究了这些模类和同调维数之间的关系.Two classes of modules were studied：GI-flat and GF-torsion modules,where GI stands for Gorenstein injective modules and GF for Gorenstein flat modules. Two homological dimensions for a ring were investigated,the supremum of the flat dimension of Gorenstein injective modules and the supremum of the GF-torsion dimension of all modules.The relation between these classes of modules and the homological dimensions was also studied.

关 键 词：GORENSTEIN内射模 GORENSTEIN平坦模 GI平坦模 GF挠模 

分 类 号：O154.2[理学—数学] O153.3[理学—基础数学]