点击选择搜索分类
首页 - 时尚/美妆- 正文
☆☆☆☆☆
||
[美] 拉姆(T.Y.Lam) 著
出版社: 世界图书出版公司 ISBN:9787510044182 版次:1 商品编码:11124549 包装:平装 外文名称:Lectures on Modules and Rings 开本:24开 出版时间:2012-06-01 用纸:胶版纸 页数:557 正文语种:英文
Notes to the Reader
Partial List of Notations
Partial List of Abbreviations
1 Free Modules, Projective, and Injective Modules
1. Free Modules
1A. Invariant Basis Number (IBN)
1B. Stable Finiteness
1C. The Rank Condition
1D. The Strong Rank Condition
1E. Synopsis
Exercises for 1
2. Projective Modules
2A. Basic Definitions and Examples
2B. Dual Basis Lemma and Inveriible Modules
2C. Invertible Fraaional Ideals
2D. The Picard Group of a Commutative Ring
2E. Hereditary and Semihereditary Rings
2F. Chase Small Examples
2G. Hereditary Artinian Rings
2H. Trace Ideals
Exercises for 2
3. Injective Modules
3A. Baer's Test for Injectivitv
3B. Self-Iniective Rings
3C. Injectivity versus Divisibility
3D. Essential Extensions and Injective Hulls
3E. Injectives over Right Noetherian Rings
3F. Indecomposable Injectives and Uniform Modules
3G. Injectives over Some Artinian Rings
3H. Simple Injcctives
3I. Matlis' Theory
3J. Some Computations oflnjective Hulls
3K. Applications to Chain Conditions
Exercises for 3
2 Flat Modules and Homological Dimensions
4. Flat and Faithfully Flat Modules
4A. Basic Properties and Flatness Tests
4B. Flatness, Torsion-Freeness, and von Neumann Regularity
4C. More Flatness Tests
4D. Finitely Presented (f.p.) Modules
4E. Finitely Generated Flat Modules
4F. Direct Products of Flat Modules
4G. Coherent Modules and Coherent Rings
4H. Semihereditary Rings Revisited
4I. Faithfully Flat Modules
4J. Pure Exact Sequences
Exercises for 4
5. Homological Dimensions
5A. Schanuel's Lemma and Projective Dimensions
5B. Change of Rings
5C. Injectivc Dimensions
5D. Weak Dimensions of Rings
5E. Global Dimensions of Semiprimary Rings
5F. Global Dimensions of Local Rings
5G. Global Dimensions ofCommutative Noetherian Rings
Exercises for 5
3 More Theory of Modules
4 Rings of Quotients
5 More Rings of Quotients
6 Frobenius and Quasi-Frobenius Rings
7 Matrix Rings, Categories of Modules, and Morita Theory
References
Name Index
Subject Index
模与环讲义 [Lectures on Modules and Rings] 电子书 下载 mobi epub pdf txt
模与环讲义 [Lectures on Modules and Rings]-so88
模与环讲义 [Lectures on Modules and Rings] pdf epub mobi txt 电子书 下载 2022
图书介绍
☆☆☆☆☆
||
[美] 拉姆(T.Y.Lam) 著
出版社: 世界图书出版公司 ISBN:9787510044182 版次:1 商品编码:11124549 包装:平装 外文名称:Lectures on Modules and Rings 开本:24开 出版时间:2012-06-01 用纸:胶版纸 页数:557 正文语种:英文
内容简介
《模与环讲义》主要内容包括:Free Modules, Projective, and Injective Modules、Flat Modules and Homological Dimensions、More Theory of Modules、Rings of Quotients、More Rings of Quotients、Frobenius and Quasi-Frobenius Rings、Matrix Rings, Categories of Modules, and Morita Theory等七大章。内页插图
目录
PrefaceNotes to the Reader
Partial List of Notations
Partial List of Abbreviations
1 Free Modules, Projective, and Injective Modules
1. Free Modules
1A. Invariant Basis Number (IBN)
1B. Stable Finiteness
1C. The Rank Condition
1D. The Strong Rank Condition
1E. Synopsis
Exercises for 1
2. Projective Modules
2A. Basic Definitions and Examples
2B. Dual Basis Lemma and Inveriible Modules
2C. Invertible Fraaional Ideals
2D. The Picard Group of a Commutative Ring
2E. Hereditary and Semihereditary Rings
2F. Chase Small Examples
2G. Hereditary Artinian Rings
2H. Trace Ideals
Exercises for 2
3. Injective Modules
3A. Baer's Test for Injectivitv
3B. Self-Iniective Rings
3C. Injectivity versus Divisibility
3D. Essential Extensions and Injective Hulls
3E. Injectives over Right Noetherian Rings
3F. Indecomposable Injectives and Uniform Modules
3G. Injectives over Some Artinian Rings
3H. Simple Injcctives
3I. Matlis' Theory
3J. Some Computations oflnjective Hulls
3K. Applications to Chain Conditions
Exercises for 3
2 Flat Modules and Homological Dimensions
4. Flat and Faithfully Flat Modules
4A. Basic Properties and Flatness Tests
4B. Flatness, Torsion-Freeness, and von Neumann Regularity
4C. More Flatness Tests
4D. Finitely Presented (f.p.) Modules
4E. Finitely Generated Flat Modules
4F. Direct Products of Flat Modules
4G. Coherent Modules and Coherent Rings
4H. Semihereditary Rings Revisited
4I. Faithfully Flat Modules
4J. Pure Exact Sequences
Exercises for 4
5. Homological Dimensions
5A. Schanuel's Lemma and Projective Dimensions
5B. Change of Rings
5C. Injectivc Dimensions
5D. Weak Dimensions of Rings
5E. Global Dimensions of Semiprimary Rings
5F. Global Dimensions of Local Rings
5G. Global Dimensions ofCommutative Noetherian Rings
Exercises for 5
3 More Theory of Modules
4 Rings of Quotients
5 More Rings of Quotients
6 Frobenius and Quasi-Frobenius Rings
7 Matrix Rings, Categories of Modules, and Morita Theory
References
Name Index
Subject Index
前言/序言
模与环讲义 [Lectures on Modules and Rings] 电子书 下载 mobi epub pdf txt
电子书下载地址:
相关电子书推荐:
- 文件名
- 发现世界丛书 浩瀚宇宙
- 花厅:新石器时代墓地发掘报告
- 水知道答案2(每一滴水都有一颗心) 9787544244381
- 海水蟹高效生态养殖新技术:青蟹、梭子蟹
- 古埃及:每天30秒探索令人心驰向往的50个古埃及传奇
- 黄鳝高效养殖技术
- 《物含妙理总堪寻:从爱因斯坦到霍金》
- 猪病诊治图谱
- 如果舌尖能思考 一节生姜著 食品安全科普书 舌尖上的安全科普读物 美食文化书 美食鉴赏品鉴书 百科知
- 美国人才吸引战略与政策史研究(精装)
- 神奇的太空 科普读物 书籍
- 中国当代少数民族儿童文学原创书系——淘气的小别克 9787531570462
- 煤制天然气技术 肖钢,侯建国,宋鹏飞
- 士大夫政治演生史稿
- 中华上下五千年(彩图版 套装1-4册)吉林人民出版社