| On generalized k-syzygy modules |
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| 作者姓名： | Chong-hui HUANG & Zhao-yong HUANG |
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| 作者单位： | Chong-hui HUANG & Zhao-yong HUANG Department of Mathematics，Nanjing University，Nanjing 210093，China; College of Mathematics and Physics，Nanhua University，Hengyang 421001，China |
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| 基金项目： | 教育部高等学校博士学科点专项科研基金;江苏省自然科学基金 |
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| 摘 要： | In this paper, we first introduce the notion of generalized k-syzygy modules, and then give an equivalent characterization that the class of generalized k-syzygy modules coincides with that ofω-k-torsionfree modules. We further study the extension closure of the category consisting of generalized k-syzygy modules. Some known results are obtained as corollaries.
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| 关 键 词： | ω-k-torsionfree module |
On generalized <Emphasis Type="Italic">κ</Emphasis>-syzygy modules |
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| Chong-hui HUANG & Zhao-yong HUANG.On generalized k-syzygy modules[J].Science in China(Mathematics),2007,50(5):675-682. |
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| Authors: | Chong-hui Huang Zhao-yong Huang |
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| Institution: | 1. Department of Mathematics, Nanjing University, Nanjing 210093, China;College of Mathematics and Physics, Nanhua University, Hengyang 421001, China
2. Department of Mathematics, Nanjing University, Nanjing 210093, China |
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| Abstract: | In this paper, we first introduce the notion of generalized κ-syzygy modules, and then give an equivalent characterization that the class of generalized κ-syzygy modules coincides with that of ω-κ-torsionfree modules. We further study the extension closure of the category consisting of generalized κ-syzygy modules. Some known results are obtained as corollaries.
This work was partially supported by the Specialized Research Fund for the Doctoral Program of Higher Education (Grant Nos.
20030284033, 20060284002) and the Natural Science Foundation of Jiangsu Province of China (Grant No. BK2005207) |
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| Keywords: | generalized k-syzygy module extension closure |
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