| 伪内射模及其同调维数 |
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| 引用本文： | 孙平,李征宇,李旸.伪内射模及其同调维数[J].长春大学学报,2011(6):41-42. |
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| 作者姓名： | 孙平 李征宇 李旸 |
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| 作者单位： | 沈阳建筑大学理学院;沈阳建筑大学信息学院; |
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| 基金项目： | 沈阳建筑大学基础学科基金资助项目(20100303) |
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| 摘 要： | 通过引入伪内射模的概念,定义了伪内射维数和伪内射整体维数,论证了伪内射维数和伪内射整体维数的关系;当环R是半单环和左遗传环时,给出伪内射整体维数的性质,证明了环R是整环时伪内射模所具有的性质。
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| 关 键 词： | 伪内射模 伪内射维数 伪内射整体维数 |
Pseudo-injective modules and homological dimension |
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| SUN Pinga,LI Zheng-yub,LI Yanga.Pseudo-injective modules and homological dimension[J].Journal of Changchun University,2011(6):41-42. |
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| Authors: | SUN Pinga LI Zheng-yub LI Yanga |
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| Institution: | SUN Pinga,LI Zheng-yub,LI Yanga(a.College of Science,b.College of Information,Shenyang Jianzhu University,Shenyang 110168,China) |
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| Abstract: | Through introducing the concept of pseudo-injective modules,this paper defines pseudo-injective dimension and pseudo-injective global dimension and demonstrates the relationships between the two.When R is a semisimple ring or a left hereditary ring,the properties of pseudo-injective dimension is presented,which proves the properties of the modules when R is an integral ring. |
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| Keywords: | pseudo-injective module pseudo-injective dimension pseudo-injective global dimension |
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