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F—内射及F—内射覆盖
引用本文:刘仲奎. F—内射及F—内射覆盖[J]. 西北师范大学学报(自然科学版), 1988, 0(2)
作者姓名:刘仲奎
摘    要:本文定义了F—内射及F—内射覆盖的概念,推广了文献[1]、[2]、[3]中的部分结果,同时这里的许多结果都可以看成是Noether环上的模的性质的推广。

关 键 词:F—内射  F—内射予覆盖  F—内射覆盖  Gabriel拓扑  F—内射包  F—内射模的生成集

F-Injection and F-Injective Covers
Liu Zhongkui. F-Injection and F-Injective Covers[J]. Journal of Northwest Normal University Natural Science (Bimonthly), 1988, 0(2)
Authors:Liu Zhongkui
Affiliation:Liu Zhongkui
Abstract:In this paper, the definitions of F--injection ard F--injective covers aregiven, which are generalizations of injection and injective covers. Some theoremsabout F--injection and F--injective cover are also proved. Some results in thispaper are generalizations of Stenstrom [1], Enochs [2], and Teply[3].
Keywords:F-injection  F-injective precover  F-injective cover  gabriel topo logies  F-injective envelopes  generated set for F-injective modules.
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