ad holder

模与环讲义 [Lectures on Modules and Rings]

模与环讲义 [Lectures on Modules and Rings] 下载 mobi epub pdf



[美] 拉姆(T.Y.Lam) 著

下载链接在页面底部
    

发表于2021-03-07

图书介绍


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


类似图书 点击查看全场最低价

相关图书





图书描述

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

Preface
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

前言/序言



模与环讲义 [Lectures on Modules and Rings] 下载 mobi epub pdf txt 格式

模与环讲义 [Lectures on Modules and Rings] mobi 下载 pdf 下载 pub 下载 txt 下载

模与环讲义 [Lectures on Modules and Rings] 下载 mobi pdf epub txt 格式

模与环讲义 [Lectures on Modules and Rings] 下载 mobi epub pdf

用户评价

评分

印刷清楚,纸张质量不错,至于内容肯定是经典,GTM的书都是经典

评分

有塑封,书很新

评分

好好好好好哈好哦啊好好好哦啊哦哈

评分

好书!好书!

评分

哈哈哈

评分

很好的书,内容详细,包装也不错。快递也很给力。

评分

可能是刚出的有点小贵

评分

哈哈哈哈哈哈哈哈哈哈哈哈哈哈哈哈哈哈

评分

模与环讲义学习用书,好。

类似图书 点击查看全场最低价

模与环讲义 [Lectures on Modules and Rings] mobi epub pdf txt 格式下载



相关图书


本站所有内容均为互联网搜索引擎提供的公开搜索信息,本站不存储任何数据与内容,任何内容与数据均与本站无关,如有需要请联系相关搜索引擎包括但不限于百度google,bing,sogou

© 2017-2019 www.xinchengonline.com All Rights Reserved. 新城书站 版权所有