| 自然类中内射模直和的基本扩张 |
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| 引用本文： | 董珺. 自然类中内射模直和的基本扩张[J]. 河西学院学报, 2005, 21(2): 13-15 |
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| 作者姓名： | 董珺 |
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| 作者单位： | 西北师范大学数学与信息科学学院,甘肃,兰州,730070 |
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| 摘 要： | k是M-自然类,证明在k中,任意M-内射模的直和的基本扩张是M-内射模的直和,并且通过可数多个k-cocritical模,刻划了∞i=⊕1E_M(S_i)的基本扩张是M-内射模的直和.
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| 关 键 词： | k-自然类 M-内射模 基本扩张 k-cocritical模 |
On Essential Extensions of Direct Sums of Injective Modules in Natural Class |
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| DONG Jun. On Essential Extensions of Direct Sums of Injective Modules in Natural Class[J]. Journal of Hexi University, 2005, 21(2): 13-15 |
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| Authors: | DONG Jun |
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| Abstract: | In this paper we show that essentiality of direct sums of any M-injective modules belonging to natural class κ is direct sums of M-injective modules and essentiality of estensions is the direct sums of M- injective modules characterized by a countable k-cocritical modules. |
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| Keywords: | k-natural class M-injective modules essential estensions k-cocritical modules |
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