X-Gorenstein投射复形  

X-Gorenstein projective complexes

作　　者：杨晓燕 杜代国 YANG Xiao-yan;DU Dai-guo(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu,China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《西北师范大学学报（自然科学版）》2018年第1期1-4,8,共5页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11361051)

摘　　要：引入X-Gorenstein投射复形,给出了X-Gorenstein投射复形的一些同调刻画.证明了X-Gorenstein投射复形的类关于直和项和直和封闭,并且X-Gorenstein投射复形的类是投射可解类.The notion of X-Gorenstein projective complex is introduced,and some homological characterizations of X-Gorenstein projective complexes are given.It is showed that the class of X-Gorenstein projective complexes is closed under direct sums and direct summands,and the class of X-Gorenstein projective complexes is projectively resolving.

关 键 词：X-Gorenstein投射模 X-Gorenstein投射复形 直和 投射可解 

分 类 号：O153.3[理学—数学]