Algebra, 代数学（第2卷）, 范德瓦尔登
代数入门读物，大师 经典好书， 现货 正文为英文。入门教材
￥ 85 九五品
仅1件
陕西西安
认证卖家担保交易快速发货售后保障
作者范德瓦尔登
出版社世界图书出版公司
ISBN9787506291613
出版时间2007-10
装帧平装
上书时间2024-05-07
- 店主推荐
- 最新上架
商品详情
- 品相描述：九五品
- 内页干净，无划痕 , 纸厚不透字。字迹清晰 用墨足。这是出版社印刷，正版。封面有透明胶布粘贴
- 商品描述
-
本书适合初次接触抽象代数的本科生，设计灵活，适合各种长度和不同复杂程度的抽象代数课程，
内容简介：
《代数学（第2卷）》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。
目录：
Chapter 12 LINEAR ALGEBRA
12.1 Modules over a ring
12.2 Modules over euclidean rings ,elementary divisors
12.3 The fundamental theorem of abelian groups
12.4 Representations and represecntation modules
12.5 Normal forms of a matrix in a commutative field
12.6 Elementary divisors and characteeristic functions
12.7 Quadratic and hermitian forms
12.8 Antisymmetric bilinear forms
Chapter 13 ALGEBRAS
13.1 Direct sums and intersections
13.2 Examples of algebras
13.3 Products and crossed products
13.4 Algebras as groups with operators ,modules and representations
13.5 The large and small radicals
13.6 The star product
13.7 Rings with minimal condition
13.8 TWO-sided decompositions and center decomposition
13.9 Simple and primitive rings
13.10 The endomorphism ring of a direct sum
13.11 structure theorems for semisimple and simple rings
13.12 The behavior of algebras under extension of the base field
Chapter 14 REPRESENTATION THE ORY OF GROUPS AND ALGEBRAS
14.1 Statement of the problem
14.2 Representation of algebras
14.3 Representation of the center
14.4 traces and characters
14.5 representations of finite groups
14.6 Group characters
14.7 The reprsedntations of the symmetric groups
14.8 Semigroups of linear and products of algebras
14.9 Double modules and products of algebras
14.10 The splitting fields of a simple algebra
14.11 The brauer group.factor systems
Chapter 15 GENERAL IDEAL THEORY OF COMMUTATIVE RINGS
15.1 Noetherian rings
15.2 Products and quotients of ideals
15.3 Prime ideals and primary ideals
15.4 The general decomposition theorem
15.5 The general decomposition theorem
15.6 Isolatde components and symbolic powers
15.7 Theory of relatively prime ideals
15.8 Single-primed ideals
15.9 Quotient rings
15.10 THE intersecrion of all porers of and ideal
15.11 The length of q primary ideal ,chains of primary ideals in noetherian rings
Chapter16 THEORY OF POLYNOMIAL IDEALS
Chapter17 INTEGRAL ALGEBRAIC ELEMENTS
Chapter18 FIELDS WITH VALUATIONS
Chapter19 ALGEBRAIC FUNCTIONS OF ONE VARIABLE
Chapter20 TOPOLOGICAL ALGEBRA
INDEX
— 没有更多了 —
以下为对购买帮助不大的评价