| 关于基本内射模的注记 |
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| 引用本文： | 徐玲娟,张东东.关于基本内射模的注记[J].浙江师范大学学报(自然科学版),2007,30(4):406-409. |
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| 作者姓名： | 徐玲娟 张东东 |
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| 作者单位： | 浙江师范大学,数理与信息工程学院,浙江,金华,321004 |
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| 摘 要： | 基本内射性是ojectivity的推广.首先讨论了基本内射模和基本ojective模的一致性,并证明了两者是一致的;给出了基本内射模的定义,并用类似于内射模的研究方法得到了基本内射模的Baer准则等性质.
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| 关 键 词： | 基本内射模 ojective模 基本ojective模 余补子模 闭子模 |
| 文章编号： | 1001-5051（2007）04-0406-04 |
| 收稿时间： | 2007-04-24 |
| 修稿时间： | 2007-05-29 |
A note on essentially injective modules |
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| XU Lingjuan,ZHANG Dongdong.A note on essentially injective modules[J].Journal of Zhejiang Normal University Natural Sciences,2007,30(4):406-409. |
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| Authors: | XU Lingjuan ZHANG Dongdong |
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| Institution: | College of Mathematics, Physics and Information Engineering, Zhefiang Normal University, Jinhua Zhejiang 321004, China |
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| Abstract: | Essentially injectivity is a generalization of ojectivity.The concept of essentially injective module was presented.It was proved that essentially injective modules and essentially ojective modules were consistent.Similarly to the injective module,some properties of essentially injective modules,such as Baer Criterion were established. |
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| Keywords: | essentially injective modules ojective modules essentially ojective modules complement closed |
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