| 商空间的同构定理及其应用 |
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| 引用本文： | 刘用麟.商空间的同构定理及其应用[J].南平师专学报,2006,25(4):1-3,6. |
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| 作者姓名： | 刘用麟 |
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| 作者单位： | 南平师范高等专科学校,数学系,福建,武夷山,354300 |
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| 摘 要： | 研究了商空间的性质,给出了有关商空间的第一、第二同构定理和同态基本定理,作为应用,证明了高等代数中的两个著名的维数公式是它们的直接推论。
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| 关 键 词： | 高等代数 商空间 同构定理 维数公式 |
| 文章编号： | 1008-5963（2006）04-0001-03 |
| 收稿时间： | 08 29 2006 12:00AM |
| 修稿时间： | 2006-08-29 |
Isomorphism Theorems of Quotient Spaces and Applications |
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| LIU Yonglin.Isomorphism Theorems of Quotient Spaces and Applications[J].Journal of Nanping Teachers College,2006,25(4):1-3,6. |
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| Authors: | LIU Yonglin |
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| Institution: | Mathematics Department of Nanping Teachers College, Wuyishan 354300, China |
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| Abstract: | This paper investigates the properties of quotient spaces and obtains the first, second isomorphism theorems and homomorphism foundamental theorem. As the applications, we prove that two famous dimensional formulas in higher algebras are their corollaries. |
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| Keywords: | higher algebra quotient space isomorphism theorem dimensional formula |
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