| 遗传挠理论的余投射模和余内射模 |
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| 引用本文： | 张力宏,杜奕秋.遗传挠理论的余投射模和余内射模[J].吉林大学学报(理学版),2011,49(3):412-418. |
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| 作者姓名： | 张力宏 杜奕秋 |
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| 作者单位： | 1. 吉林师范大学 数学学院, 吉林 四平 136000,2. 吉林大学 数学研究所, 长春 130012 |
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| 摘 要： | 通过给出关于遗传挠理论的余投射模和余内射模的概念, 证明了这两类模的一些等价命题, 并揭示了这两类模的对偶性; 利用关于遗传挠理论的余投射模给出了余半单环和余左遗传环的概念, 并研究了这两类环的结构.
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| 关 键 词： | τ 余内射模 τ 余投射模 τ 挠模 τ 挠自由模 |
| 收稿时间： | 2010-06-29 |
Co-projective Modules and Co-injective Modules Related to the Hereditary Torsion Theory |
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| ZHANG Li-hong,DU Yi-qiu.Co-projective Modules and Co-injective Modules Related to the Hereditary Torsion Theory[J].Journal of Jilin University: Sci Ed,2011,49(3):412-418. |
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| Authors: | ZHANG Li-hong DU Yi-qiu |
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| Institution: | 1. College of Mathematics, Jilin Normal University, Siping 136000, Jilin Province, China;2. Institute of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | The authors presented the concepts of co-projective modules andco-injective modules related to the hereditary torsion theory and proved some equivalent conditions of these two types of modules, revealed the duality of these two types of modules, gave the concepts of co-semisimple rings and left co-hereditary rings by means of co-projective module related to the hereditary torsion theory and studied the structure of these two types of rings. |
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| Keywords: | τ co injective module τ co projective module τ torsionmodule τ torsion free module |
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