内射余模的对偶H^＊-模的同调性质  

The Homological Porperties for Dual H^＊ -modules of Injective Comodules

作　　者：任北上[1] 唐爱英[1] 郭映雪[1] 章维维[1] 

机构地区：[1]广西师范学院数学与计算机科学系

出　　处：《广西师范学院学报（自然科学版）》2008年第3期10-14,共5页Journal of Guangxi Teachers Education University(Natural Science Edition)

基　　金：广西自然科学基金(0640070;0447038);广西教育厅科研资助项目

摘　　要：通过内射模的维数及郝志峰给出的H-内射余模,介绍了H-余模的内射分解,得到了ComH(-,M)的右导出函子,进而根据这些导出函子ExtCnH(N,-)定义出H-内射余模的内射维数以及它的一些等价刻画.还给出了H-内射余模的对偶H*-模M*的同调性质.当M的内射维数为n并且它的内射余模分解满足一定条件时,l.pdH*(M)≤n.以及H本身作为一个有限余生成内射H-余模且H是余反射的,则可得出H*是凝聚环.An injective H- comodule is defined. By introducing H- comodule injective decomposition, we can get derived functor ExtC^nH （N, - ）. So it follows that these functors define the injctive dimension of H- injctive comodule, and its equivalence expiation. In this paper we also intrduce the dual H＊ module of H- incomposition. H- comodules satisfy some conditions then 1. pdH^＊ （M^＊）≤n. And if H itself as a finite cogenerated injcective H - comodule and H is coreflexive, then H ＊ is H itself as a finite cogenerated injective H- comodule and H is coreflexive, then H＊ is coherent ring.

关 键 词：内射余模 内射维数 凝聚环 

分 类 号：O153.3[理学—数学]