| p-torsion模的性质 |
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| 引用本文： | 邢建民,李秀丽.p-torsion模的性质[J].青岛科技大学学报,2010,31(1):100-102. |
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| 作者姓名： | 邢建民 李秀丽 |
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| 作者单位： | 青岛科技大学数理学院,山东青岛266061 |
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| 摘 要： | 给出了p-torsion模的定义,并利用同调的方法讨论了p-torsion模的性质,目的是找到p-torsion模构成torsion类的条件以及构造p-torsionfree类,并最终找到了一个p-torsionfree类与投射维类的关系。
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| 关 键 词： | 投射模 -torsion模 φ-torsion模 预包络 完备环 局部环 |
Properties of p-torsion Module |
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| XINGJian-min,LIXiu-li.Properties of p-torsion Module[J].Journal of Qingdao University of Science and Technology:Natutral Science Edition,2010,31(1):100-102. |
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| Authors: | XINGJian-min LIXiu-li |
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| Affiliation: | XING+Jian-min,LI+Xiu-li(College+of+Mathematics+,+Physics,Qingdao+University+of+Science+,+Technology,Qingdao+266061,China) |
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| Abstract: | The definition of the p-torsion module is given and the properties of p-torsion modules are discussed by homological method.The purpose of this paper is finding the condition in which p-torsion modules form a torsion class and how to form the corresponding torsionfree class.At last,the relation between p-torsionfree class and projective dimensions is obtained. |
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| Keywords: | projective modules p-torsion modules φ-torsion preenvelope perfect ring local ring |
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