An Introduction to Homological Algebra

Front Cover
Cambridge University Press, Oct 27, 1995 - Mathematics - 450 pages
2 Reviews
The 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.
  

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Review: An Introduction to Homological Algebra

User Review  - Han Zhicheng - Goodreads

Emmm.....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

User Review  - Jim Gillespie - Goodreads

Best homological algebra book out there! The book would get 5 stars if the last chapter covered the unbounded derived category rather than just the bounded below complexes. 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
LIII
248
LIV
254
LV
259
LVI
270
LVII
275
LVIII
286
LIX
294
LX
300
LXI
311
LXII
319
LXIII
326
LXIV
330
LXV
338
LXVI
344
LXVII
354
LXVIII
362
LXIX
369
LXX
373
LXXI
379
LXXII
385
LXXIII
390
LXXIV
394
LXXV
398
LXXVI
402
LXXVII
407
LXXVIII
417
LXXIX
421
LXXX
423
LXXXI
424
LXXXII
427
LXXXIII
429
LXXXIV
432
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