职称：教授
单位：湖北大学（其他）
部门：数学与统计学学院
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个人介绍
主讲教师：徐运阁
教师团队：共5位
- 徐运阁
- 沈如林
- 廖军
- 谢涛
- 高睿
| 课程英文名称： | Basic Algebra |
课程介绍
使学生掌握群、环、域三种基本代数结构的定义、基本性质、经典例子及核心定理，培养抽象思维和逻辑推理能力。
教师团队
教学资源
| 课程章节 | | 资源名称 | | 文件类型 | | 修改时间 | | 大小 | | 备注 | |
| 1.1 Rudiment |
1.1 Rudiment.pdf
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2024-09-23 | 226.90KB | ||
| 1.2 Isomorphism theorems |
1.2 Isomorphism theorems.pdf
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2024-09-23 | 142.57KB | ||
| 1.3 Simple groups |
1.3 Simple groups.pdf
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2024-09-23 | 163.51KB | ||
| 1.4 Direct sums of groups |
1.4 Direct sums of groups.pdf
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2024-09-23 | 168.31KB | ||
| 1.5 Free groups |
1.5 Free groups.pdf
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2024-09-23 | 208.46KB | ||
| 1.6 The action of a group on a set |
1.6 The action of a group on a set.pdf
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2024-09-23 | 207.14KB | ||
| 1.7 Sylow theorems |
1.7 Sylow theorems.pdf
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2024-09-23 | 196.62KB | ||
| 1.8 Solvable groups |
1.8 Solvable groups.pdf
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2024-09-23 | 169.95KB | ||
| 1.9 Jordan-H¨older Theorem |
1.9 Jordan-H¨older Theorem.pdf
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2024-09-23 | 146.00KB | ||
| 2.1 Rings |
2.1 Rings.pdf
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2024-09-23 | 149.70KB | ||
| 2.2 Ideals |
2.2 Ideals.pdf
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2024-09-23 | 167.10KB | ||
| 2.3 Homomorphisms |
2.3 Homomorphisms.pdf
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|
2024-09-23 | 140.16KB | ||
| 2.4 Direct sums |
2.4 Direct sums.pdf
|
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|
2024-09-23 | 169.31KB | ||
| 2.5 Prime ideals and maximal ideals |
2.5 Prime ideals and maximal ideals.pdf
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2024-09-23 | 203.99KB | ||
| 2.6 Localization |
2.6 Localization.pdf
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|
2024-09-23 | 165.70KB | ||
| 3.1 Modules |
3.1 Modules.pdf
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|
2024-09-23 | 160.87KB | ||
| 3.2 Homomorphisms |
3.2 Homomorphisms.pdf
|
文档
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|
2024-09-23 | 139.98KB | ||
| 3.3 Direct sums |
3.3 Direct sums.pdf
|
文档
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|
2024-09-23 | 207.71KB | ||
| 3.4 Free modules |
3.4 Free modules.pdf
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|
2024-09-23 | 209.81KB | ||
| 3.5 Modules over a PID |
3.5 Modules over a PID.pdf
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|
2024-09-23 | 228.17KB | ||
| 3.6 Algebras |
3.6 Algebras.pdf
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2024-09-23 | 147.41KB | ||
| 4.1 Field extensions |
4.1 Field extensions.pdf
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|
2024-09-23 | 231.96KB | ||
| 4.2 Fundamental theorem |
4.2 Fundamental theorem.pdf
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2024-09-23 | 203.73KB | ||
| 4.3 Splitting fields and normality |
4.3 Splitting fields and normality.pdf
|
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|
2024-09-23 | 184.46KB | ||
| 4.4 Finite fields and perfect fields |
4.4 Finite fields and perfect fields.pdf
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2024-09-23 | 229.03KB | ||
| 4.5 Cyclotomic fields |
4.5 Cyclotomic fields.pdf
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2024-09-23 | 210.89KB |
文档 课程章节
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