| 有限拟内射模 |
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| 引用本文： | 朱占敏.有限拟内射模[J].山东大学学报(理学版),2010,45(10):20-23. |
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| 作者姓名： | 朱占敏 |
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| 作者单位： | 嘉兴学院数学系, 浙江 嘉兴 314001 |
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| 摘 要： | 设R为一个环, 称一个右R-模M是有限拟内射的, 如果M的每一有限生成子模到M的同态都可扩张为M的自同态。给出了有限拟内射模的一些特征和性质,并研究了一些有限生成的 有限拟内射模。
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| 关 键 词： | 有限拟内射模 PQ-内射模 自同态环 零化子 |
| 收稿时间： | 2009-03-10 |
Finitely quasi-injective modules |
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| ZHU Zhan-min.Finitely quasi-injective modules[J].Journal of Shandong University,2010,45(10):20-23. |
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| Authors: | ZHU Zhan-min |
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| Institution: | Department of Mathematics, Jiaxing University, Jiaxing 314001, Zhejiang, China |
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| Abstract: | Let R be a ring. A right R-module M is called finitely quasi-injective if each R-homomorphism from a finitely generated submodule of M to M can be extended to an endomorphism of M. Some characterizations and properties of finitely quasi-injective modules are given, and some finitely generated finitely quasi-injective modules are investigated. |
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| Keywords: | finitely quasi-injective modules PQ-injective modules endomorphism rings annihilators |
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