## An Introduction to Homological AlgebraThe landscape of homological algebra has evolved over the past 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 is also described. 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. |

### What people are saying - Write a review

#### Review: An Introduction to Homological Algebra (Cambridge Studies in Advanced Mathematics)

User Review - Han Zhicheng - GoodreadsEmmm.....it seems this book assumes a lot and is very sketchy in its writing style. I shall deal with Rotman's book first... Read full review

#### Review: An Introduction to Homological Algebra (Cambridge Studies in Advanced Mathematics)

User Review - Joecolelife - GoodreadsThis is by far the most accessible and well-written Homological Algebra book I've dealt with. I'm an analyst at heart, so the subject does not in any way come easy to me. However, the exposition in ... Read full review

### Contents

II | 1 |

III | 5 |

IV | 10 |

V | 15 |

VI | 18 |

VII | 25 |

VIII | 30 |

IX | 33 |

XLIV | 198 |

XLV | 203 |

XLVI | 206 |

XLVII | 216 |

XLIX | 219 |

L | 223 |

LI | 238 |

LII | 242 |

X | 38 |

XI | 43 |

XII | 49 |

XIII | 51 |

XIV | 58 |

XV | 66 |

XVI | 68 |

XVII | 73 |

XVIII | 76 |

XIX | 80 |

XX | 87 |

XXI | 91 |

XXII | 95 |

XXIII | 99 |

XXIV | 104 |

XXV | 111 |

XXVI | 115 |

XXVII | 120 |

XXVIII | 122 |

XXIX | 127 |

XXX | 131 |

XXXI | 135 |

XXXII | 141 |

XXXIII | 145 |

XXXIV | 150 |

XXXV | 153 |

XXXVI | 160 |

XXXVII | 167 |

XXXVIII | 171 |

XXXIX | 174 |

XL | 177 |

XLI | 182 |

XLII | 189 |

XLIII | 195 |

### Other editions - View all

### Common terms and phrases

### References to this book

### References from web pages

An introduction to homological algebra , by Charles A. Weibel **...**

An introduction to homological algebra, by Charles A. Weibel, Cambridge Studies. in Advanced Math., vol. 38, Cambridge Univ. Press, 1994, xiv + 450 pp., ...

www.ams.org/ bull/ 1996-33-04/ S0273-0979-96-00684-2/ S0273-0979-96-00684-2.pdf

An introduction to homological algebra

``An introduction to homological algebra''. by Charles Weibel, published 1994 by Cambridge Univ. Press (450pp.) Corrections to 1994 hardback edition; ...

www.math.rutgers.edu/ ~weibel/ Hbook-corrections.html

An Introduction to Homological Algebra

0521435005 - An Introduction to Homological Algebra - by Charles A. Weibel Description More information. Description ...

assets.cambridge.org/ 97805214/ 35000/ description/ 9780521435000_description.htm

kfup & mdms MATH 553 ( ha ) S 2007 (S . 062) D . ja

M. Osborne, Basic Homological Algebra, Springer (2000). accompanied by: J. Rotman, An Introduction to Homological Algebra, Academic. Press (1979). ...

faculty.kfupm.edu.sa/ MATH/ kabbaj/ carl/ MATH553-062.pdf

Geometry.Net - pure_and_applied_math: Homological Algebra

An Introduction to Homological Algebra (Cambridge Studies in Advanced Mathematics) by Charles A. Weibel, B. Bollobas, et all 27 October, 1995 ...

www5.geometry.net/ detail/ pure_and_applied_math/ homological_algebra.html

18: Category theory, homological algebra

An introduction to homological algebra / Joseph J. Rotman. New York: Academic Press, 1979. Hilton-Stammbach; Weibel, Charles A.: "An introduction to ...

www.math.niu.edu/ ~rusin/ known-math/ index/ 18-XX.html

BIBLIOGRAPHY General Cohn, pm, Algebra, Volumes 1 and 2 , John **...**

Rotman, jj, An Introduction to Homological Algebra, Springer-Verlag, New York, 1979. Weibel, ca, An Introduction to Homological Algebra, ...

www.math.uiuc.edu/ ~r-ash/ Algebra/ Endmatter.pdf

books

Joseph Rotman, An Introduction to Homological Algebra, Academic Press, New York, 1979. (A good introduction to an important but sometimes intimidating ...

math.ucr.edu/ home/ baez/ books.html

Syllabus for Math 760, Spring 2008 Homological Algebra

An Introduction to Homological Algebra, by C. Weibel,. Chap. 1–4, 6, 7, Appendix A. Contents. • Basic category theory. • Complexes and (co)homology ...

www.math.virginia.edu/ ~ww9c/ HomoAlg08/ syll760HomAlg-Sp08.pdf

CEU, Department of Mathematics and its Applications

J. Rotman: An introduction to homological algebra, Academic Press 1979 Commitment: 3 hours/week, 3 credits Contents:. Language of categories and functors. ...

web.ceu.hu/ math/ Courses/ fall0405.html