An Introduction to Homological Algebra pdf epub mobi txt 電子書下載2025

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Charles A.Weibel羅格斯大學教授，數學係研究生項目副主任，《Journal of Pure and Applied Algebra》雜誌主編。他的研究領域包括代數K理論、代數幾何和同調代數等。

出版者:Cambridge University Press

作者:Charles A. Weibel

出品人:

頁數:468

译者:

出版時間:1995-10-27

價格:USD 53.00

裝幀:Paperback

isbn號碼:9780521559874

叢書系列:Cambridge Studies in Advanced Mathematics

圖書標籤:

同調代數
數學
Mathematics
代數
Homological_algebra
Algebra
想買
學術讀物

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The landscape of homological algebra has evolved over the last half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings, and semi-simple Lie algebras are also described. This book is suitable for second or third year graduate students. The first half of the book takes as its subject the canonical topics in homological algebra: derived functors, Tor and Ext, projective dimensions and spectral sequences. Homology of group and Lie algebras illustrate these topics. Intermingled are less canonical topics, such as the derived inverse limit functor lim1, local cohomology, Galois cohomology, and affine Lie algebras. The last part of the book covers less traditional topics that are a vital part of the modern homological toolkit: simplicial methods, Hochschild and cyclic homology, derived categories and total derived functors. By making these tools more accessible, the book helps to break down the technological barrier between experts and casual users of homological algebra.

具體描述

讀後感

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范畴（category）理论是现代数学中的一个基本概念，下面我们就来对它做一个相对比较深入的讨论，主要介绍Abel范畴、三角范畴与导出范畴的基本概念。所谓范畴C，主要是由下列数据组成：（1）对象Ob（C）（2）对象之间的态射Hom（X，Y），X，Y∈Ob（C） ...

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用戶評價

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Though taught by the author, the book is still not easy to understand, mostly because Chuck want to squeeze too many things in a single volume. The index is horrible espeical in the special sequence chapter. It is written in homology rather than cohomology, so not good for an algebraic geometer, where all the arrows are in the opposite direction.

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這學期的課真真是要把我搞死的節奏啊。。。尤其是這個。。。

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還行, 還講瞭李代數同調

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typos好多啊～對個人而言，代數的東西還是跟著代數幾何一塊兒學最好！但是最好先大概過一遍

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代數拓撲的抽象化就是同調代數：阿貝範疇的導齣範疇是拓撲空間的同倫範疇的代數語言。鏈復形經過同倫等價商到做分式局部化得到阿貝範疇的導齣範疇。正閤三角作為短正閤序列替代物