A Course in Homological Algebra
A Course in Homological Algebra
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DOI：
10.1007/978-1-4419-8566-8
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发表时间：
1972-01
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影响因子：
--
通讯作者：
P. Hilton;U. Stammbach
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文献类型：
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作者：
P. Hilton;U. Stammbach
在这一版中，我们增加了一章（第十章），题为”一些应用和最新发展“。“本章的第一部分描述了同调代数如何从代数拓扑中抽象出来，以及它如何对拓扑知识做出贡献。其他四个部分描述应用的方法和结果的同调代数的其他部分代数。这四个部分中的大部分材料在本文首次出版时还没有。当然，这五个部分的处理有些粗略，目的是给人的味道的人的逻辑方法，而不是细节的论点和结果。我们要感谢在撰写第十章时所得到的帮助，特别是罗斯·纪勤和彼得·克罗福勒（第三章）以及雅克·泰维纳兹（第四章和第五章）。唯一的其他变化包括纠正小错误，当然，扩大指数。彼得希尔顿宾厄姆顿，纽约，美国乌尔斯Stammbach苏黎世，瑞士目录序言第二版vii引言. I.模块。
We have inserted, in this edition, an extra chapter (Chapter X) entitled" Some Applications and Recent Developments." The first section of this chapter describes how homological algebra arose by abstraction from algebraic topology and how it has contributed to the knowledge of topology. The other four sections describe applications of the methods and results of homological algebra to other parts of algebra. Most of the material presented in these four sections was not available when this text was first published. Naturally, the treatments in these five sections are somewhat cursory, the intention being to give the flavor of the homo logical methods rather than the details of the arguments and results. We would like to express our appreciation of help received in writing Chapter X; in particular, to Ross Geoghegan and Peter Kropholler (Section 3), and to Jacques Thevenaz (Sections 4 and 5). The only other changes consist of the correction of small errors and, of course, the enlargement of the Index. Peter Hilton Binghamton, New York, USA Urs Stammbach Zurich, Switzerland Contents Preface to the Second Edition vii Introduction.. I. Modules.