Gorenstein弱平坦模  

Gorenstein weak flat modules

作　　者：饶炎平 杨刚[1] 

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《山东大学学报（理学版）》2015年第10期68-75,共8页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11101197);甘肃省自然科学基金资助项目(145RJZA079)

摘　　要：引入了Gorenstein弱平坦模,给出了Gorenstein弱平坦模的一些性质。证明了Gorenstein弱平坦模类关于直积封闭,Gorenstein弱平坦模类是投射可解类当且仅当它关于扩张封闭,并且证明了每一个模都具有Gorenstein弱平坦预覆盖。Gorenstein weak flat modules are introduced and some properties of such modules are given. It is proved that the class of Gorenstein weak flat modules is closed under direct products,and that the class of Gorenstein weak flat modules is projectively resolving if and only if it is closed under extensions. Moreover,it is proved that every module has a Gorenstein weak flat precover.

关 键 词：弱平坦模 Gorenstein弱平坦模 IF环 Gorenstein弱平坦预覆盖 

分 类 号：O153.3[理学—数学]