| 内射模的局部化 |
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| 引用本文： | 黄福生. 内射模的局部化[J]. 江西师范大学学报(自然科学版), 1992, 16(3): 209-212 |
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| 作者姓名： | 黄福生 |
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| 作者单位： | 江西师范大学数学系 |
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| 摘 要： | 设F是一个带恒等元环A上的一个Gabriel拓扑,M是一个右A-模,M关于F的局部化模记为M_F。一般说,若M是A-内射模,M_F不一定是A_F-内射模。本文则证明了几个要使M_F是A_F-内射模的条件。
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| 关 键 词： | 内射模 Gabriel拓扑 局部化模 |
Localization of Injective Modules |
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| Huang Fusheng. Localization of Injective Modules[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 1992, 16(3): 209-212 |
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| Authors: | Huang Fusheng |
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| Affiliation: | Dept. of Math. |
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| Abstract: | Let F be a Gabriel topology on a ring A which has an identity element, M be a right Amodule and M F be the module of quotients of M with respect to the Gabriel topology F. If M is a right A-injective module, M F is not a right A F-injective module in general. In this paper, we get some conditions to make M F a A F-injective module. |
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| Keywords: | injective module Gabriel topology modules of quotients |
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