| 挠理论中的相对内射模 |
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| 引用本文： | 宋贤梅,陈建龙.挠理论中的相对内射模[J].数学季刊,2007,22(4):500-503. |
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| 作者姓名： | 宋贤梅 陈建龙 |
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| 作者单位： | 1.College of Mathematics and Computer Science，Anhui Normal University，Wuhu 241000，China;2.Department of Mathematics，Southeast University，Nangjing 210096，China |
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| 摘 要： | For a hereditary torsion theory T,this paper mainly discuss properties of A-τ- injective modules,where A is a fixed left R-module.It is proved that if M is an A-τ-injective, B is a submodule of A,then 1)M is A/B-τ-injective;2)M is B-τ-injective when B isτ- dense in A.Furthermore,we show that if A_1,A_2,…,A_n are relatively injective modules, then A_1⊕A_2⊕…⊕A_n is self-τ-injective if and only if A_i is self-τ-injective for each i.
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| 关 键 词： | hereditary torsion theory τ-dense submodule A-τ-injective module |
| 文章编号： | 1002-0462（2007）04-0500-04 |
| 收稿时间： | 2005-06-15 |
| 修稿时间： | 2005年6月15日 |
Relatively Injective Modules with Respect to Torsion Theory |
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| SONG Xian-mei,CHEN Jian-long.Relatively Injective Modules with Respect to Torsion Theory[J].Chinese Quarterly Journal of Mathematics,2007,22(4):500-503. |
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| Authors: | SONG Xian-mei CHEN Jian-long |
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| Abstract: | |
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| Keywords: | hereditary torsion theory T-dense submodule A-T-injective module |
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