An Introduction to Homological Algebra pdf epub mobi txt 电子书下载 2025

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Charles A.Weibel罗格斯大学教授，数学系研究生项目副主任，《Journal of Pure and Applied Algebra》杂志主编。他的研究领域包括代数K理论、代数几何和同调代数等。

出版者:Cambridge University Press

作者:Charles A. Weibel

出品人:

页数:468

译者:

出版时间:1995-10-27

价格:USD 53.00

装帧:Paperback

isbn号码:9780521559874

丛书系列:Cambridge Studies in Advanced Mathematics

图书标签:

同调代数
数学
Mathematics
代数
Homological_algebra
Algebra
想买
学术读物

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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.

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读后感

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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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用户评价

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处理方法较两本GTM中的同调代数摩登。

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处理方法较两本GTM中的同调代数摩登。

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处理方法较两本GTM中的同调代数摩登。

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一学期读了前五章估计之后也不会再看了就当参考书查了

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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.