| 关于Gorensteincotorsion模 |
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| 引用本文： | 张豫冈.关于Gorensteincotorsion模[J].工科数学,2012(5):54-57. |
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| 作者姓名： | 张豫冈 |
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| 作者单位： | 兰州工业学院基础学科部,甘肃兰州730050 |
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| 摘 要： | 讨论了Gorensteincotorsion模与内射模之间的关系，证明了R是GorensteinvonNeumann正则环当且仅当任意R模M的Oorensteincotorsion包络与内射包络是同构的，当且仅当E（M）／M是Gorenstein平坦模，同时，也讨论了Gorensteincotorsion模与cotorsion模之间的联系。
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| 关 键 词： | Gorenstein cotorsion模 yon Neumann正则环 包络 |
On Gorenstein Cotorsion Modules |
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| ZHANG Yu-gang.On Gorenstein Cotorsion Modules[J].Journal of Mathematics For Technology,2012(5):54-57. |
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| Authors: | ZHANG Yu-gang |
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| Institution: | ZHANG Yu-gang (Department Basic Science, Lanzhou Institute Technology, Lanzhou, Gansu Province 730050, China) |
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| Abstract: | We investigated the relations between Gorenstein cotorsion and injective modules, and proved that a ring R is Gorenstein yon Neumann regular if and only if the Gorenstein cotorsion envelope and injective envelope of any Rmodule M are isomorphism, if and only if E（M）/M is Gorenstein flat Rmodule. Meanwhile, the connections between Gorenstein cotorsion and cotorsion modules are discussed as well. |
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| Keywords: | Gorenstein cotorsion modules von Neumann regular ring envelope |
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