关于Gorenstein平坦模  

On Gorenstein Flat Modules

作　　者：姚海楼[1] 赵永彩[1] 

机构地区：[1]北京工业大学应用数理学院,北京100022

出　　处：《北京工业大学学报》2007年第8期878-883,共6页Journal of Beijing University of Technology

基　　金：国家自然科学基金(10371036);北京市自然科学基金(1042001);北京市教育委员会基金(KM200610005024);北京市属市管高等学校人才强教计划资助项目(05006011200702).

摘　　要：为了研究环与代数上的模结构与性质,采用同调方法研究了Gorenstein内射模和Gorenstein平坦模之间的关系,给出了Gorenstein平坦模的判定定理.同时,给出了理想与模的乘积的Gorenstein平坦维效和它们各自Gorenstein平坦维数之间的关系.In order to research the structure and properties of modulcs overings and algebras, In this paper, by using homological methods we investigated the ralation between Gorenstein injective modules and Gorenstein flat modules, and gave a criteria theorem on Gorenstein flat modules. Meanwhile, we also obtained the connection between the Gorenstein flat dimension of the ideal products and modules, and relations among their Gorenstein flat dimension.

关 键 词：GORENSTEIN内射模 GORENSTEIN平坦模 维数 

分 类 号：O153[理学—数学]