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| 本书特色：抽象与具体结合，理论与应用结合。目前的代数书，常常单线地朝抽象方向发展，使读者--甚至一些数学家们--觉得代数学是抽象概念的游戏。各种数学理论的平行发展，到了代数学中，取得了整合与统一。 |
| CONTENTS Chapter 12 LINEAR ALGEBRA 1 12．1 Modules over a Ring l l 2．2 M0dules over Eudidean Rings．Elementary Divisors 3 12．3 The Fundamental Theorem of Abelian Groups 6 12．4 Represenrations and Representation Modules lO 1 2．5 NormaI Forms Of a Matrix in a C0mmutative FieId l 3 l 2．6 EleHientarv Divisors and Characteristic FUrictions l 7 12．7 Quadmtic and Herinitian F0rms 20 l 2．8 Antisymmetric Bilinear Forms 28 Chaoter 13 ALGEBRAS 32 1 3．1 Direct Sums and Intersections 33 13．2 Examples of Algebras 36 13．3 Prodacts and Crossed Products 41 13．4 A1gebras as Groups with OperatOrs．MOdules and Representations& |
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