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抽象代数 II

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Author(s): 徐明曜 赵春来
Series: 北京大学数学教学系列丛书
Publisher: 北京大学出版社
Year: 2007

Language: Chinese
Pages: 45

抽象代数 II......Page 1
0.1　Zorn引理......Page 15
0.2　范畴与函子......Page 16
1.0.1　基本知识......Page 20
1.0.2　素理想与极大理想......Page 25
1.0.3　多项式环......Page 26
1.0.4　整除性理论......Page 27
1.1　模的定义及例......Page 29
1.2　子模与商模，模的同态与同构......Page 31
1.3　模的直和与直积......Page 33
1.4　自由模......Page 36
1.5.1　主理想整环上的有限生成自由模......Page 38
1.5.2　有限生成模分解为自由模和扭模的直和......Page 41
1.5.3　有限生成扭模分解为不可分解循环模的直和......Page 44
图书说明......Page 45