| （Inco） Projective Modules of Relatively Hereditary Torsion Theroy |
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| 引用本文： | 张力宏,辛大伟.（Inco） Projective Modules of Relatively Hereditary Torsion Theroy[J].数学季刊,2009,24(1). |
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| 作者姓名： | 张力宏 辛大伟 |
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| 作者单位： | |
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| 摘 要： |
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| 关 键 词： | Torsion theory Υ Υ-torsionfree module (inco) Υ-projective module |
(Inco) Projective Modules of Relatively Hereditary Torsion Theroy |
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| ZHANG Li-hong XIN Da-wei.(Inco) Projective Modules of Relatively Hereditary Torsion Theroy[J].Chinese Quarterly Journal of Mathematics,2009,24(1). |
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| Authors: | ZHANG Li-hong XIN Da-wei |
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| Institution: | College of Mathematics, Jilin Normal University, Siping 136000, China |
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| Abstract: | In the paper, we define(inco) project modules of relatively hereditary torsion theory Υ by intersection complement of module and study their properties; secondly, we define the(inco) Υ-semisimple ring by(inco) Υ-projective module and study their properties. When Υ is a trivial torsion theory on R-rood, we prove that R is a semisimple ring if and only if R is a(inco) semisimple ring and satisfies(inco) condition. |
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| Keywords: | (inco) condition semisimple ring |
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