| Gorenstein弱平坦模 |
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| 引用本文： | 饶炎平,杨刚.Gorenstein弱平坦模[J].山东大学学报(理学版),2015,50(10):68-75. |
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| 作者姓名： | 饶炎平 杨刚 |
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| 作者单位： | 兰州交通大学数理学院, 甘肃 兰州 730070 |
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| 基金项目： | 国家自然科学基金资助项目(11101197);甘肃省自然科学基金资助项目(145RJZA079) |
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| 摘 要： | 引入了Gorenstein弱平坦模,给出了Gorenstein弱平坦模的一些性质。证明了Gorenstein弱平坦模类关于直积封闭,Gorenstein弱平坦模类是投射可解类当且仅当它关于扩张封闭,并且证明了每一个模都具有Gorenstein弱平坦预覆盖。
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| 关 键 词： | 弱平坦模 Gorenstein弱平坦预覆盖 IF环 Gorenstein弱平坦模 |
| 收稿时间： | 2014-10-13 |
Gorenstein weak flat modules |
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| RAO Yan-ping,YANG Gang.Gorenstein weak flat modules[J].Journal of Shandong University,2015,50(10):68-75. |
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| Authors: | RAO Yan-ping YANG Gang |
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| Institution: | Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China |
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| Abstract: | Gorenstein weak flat modules are introduced and some properties of such modules are given. It is proved that the class of Gorenstein weak flat modules is closed under direct products, and that the class of Gorenstein weak flat modules is projectively resolving if and only if it is closed under extensions. Moreover, it is proved that every module has a Gorenstein weak flat precover. |
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| Keywords: | weak flat module Gorenstein weak flat precover IF ring Gorenstein weak flat module |
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