An introduction to homological algebra:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2003
|
| Edition: | First paperback edition 1995, reprinted 1997, transferred to digital printing 2003 |
| Series: | Cambridge studies in advanced mathematics
38 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xiv, 450 Seiten |
| ISBN: | 0521435005 0521559871 9780521559874 |
Staff View
MARC
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| 245 | 1 | 0 | |a An introduction to homological algebra |c Charles A. Weibel (Department of Mathematics Rutgers University) |
| 250 | |a First paperback edition 1995, reprinted 1997, transferred to digital printing 2003 | ||
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2003 | |
| 300 | |a xiv, 450 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Cambridge studies in advanced mathematics |v 38 | |
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| 830 | 0 | |a Cambridge studies in advanced mathematics |v 38 |w (DE-604)BV000003678 |9 38 | |
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Record in the Search Index
| _version_ | 1804133036601638912 |
|---|---|
| adam_text | Contents
Introduction
1
ι
1
1.1
Complexes of
1
1.2
Operations on Chain Complexes
5
1.3
Long Exact Sequences
10
1.4
Chain Homotopies
15
1.5
Mapping Cones and Cylinders
18
1.6
More on Abelian Categories
25
2
30
2.1
¿-Functors
30
2.2
Projective
33
2.3
Injective Resolutions
38
2.4
Left Derived Functors
43
2.5
Right Derived Functors
49
2.6
Adjoint Functors and Left/Right Exactness
51
2.7
Balancing Tor and Ext
58
3
66
3.1
Tor for Abelian Groups
66
3.2
Tor and Flatness
68
3.3
Ext for Nice Rings
73
3.4
Ext and Extensions
76
VII
viii
Contents
3.5
Derived Functors of the Inverse Limit
3.6
Universal Coefficient Theorems
4
4.1
Dimensions
4.2
Rings of Small Dimension
4.3
Change of Rings Theorems
4.4
Local Rings
4.5
Koszul
4.6
Local Cohomology
80
87
91
91
95
99
104
111
115
5
5.1
5.2
5.3
5.4
5.5
5.6
5.7
5.8
5.9
6
6.1
6.2
6.3
6.4
6.5
6.6
6.7
6.8
6.9
6.10
6.11
Contents ix
7
7.1
7.2
7.3 Universal
7.4
7.5
7.6
7.7
7.8 Semisimple
7.9
8
8.1
8.2
8.3
8.4
8.5
8.6
8.7
8.8
9 Hochschild
9.1 Hochschild
9.2
9.3
9.4 Hochschild
9.5
9.6
9.7
9.8
9.9
9.10
Contents
10
369
10.1
369
10,2
373
10.3
379
10.4
385
10.5
390
10.6
394
10.7
398
10.8
402
10.9
407
A Category Theory Language
417
A.I Categories
417
A.2 Functors
421
A.3 Natural Transformations
423
A.4 Abelian Categories
424
A.5 Limits and Colimits
427
A.6 Adjoint Functors
429
References
432
Index
435
|
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| author_facet | Weibel, Charles A. 1950- |
| author_role | aut |
| author_sort | Weibel, Charles A. 1950- |
| author_variant | c a w ca caw |
| building | Verbundindex |
| bvnumber | BV019658192 |
| classification_rvk | SK 320 |
| classification_tum | MAT 185f |
| ctrlnum | (OCoLC)254126771 (DE-599)BVBBV019658192 |
| dewey-full | 512.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.55 |
| dewey-search | 512.55 |
| dewey-sort | 3512.55 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | First paperback edition 1995, reprinted 1997, transferred to digital printing 2003 |
| format | Book |
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| id | DE-604.BV019658192 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T20:02:20Z |
| institution | BVB |
| isbn | 0521435005 0521559871 9780521559874 |
| language | English |
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| physical | xiv, 450 Seiten |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge studies in advanced mathematics |
| series2 | Cambridge studies in advanced mathematics |
| spelling | Weibel, Charles A. 1950- Verfasser (DE-588)142971200 aut An introduction to homological algebra Charles A. Weibel (Department of Mathematics Rutgers University) First paperback edition 1995, reprinted 1997, transferred to digital printing 2003 Cambridge Cambridge University Press 2003 xiv, 450 Seiten txt rdacontent n rdamedia nc rdacarrier Cambridge studies in advanced mathematics 38 Homologische Algebra (DE-588)4160598-6 gnd rswk-swf Homologische Algebra (DE-588)4160598-6 s DE-604 Cambridge studies in advanced mathematics 38 (DE-604)BV000003678 38 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012986655&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Weibel, Charles A. 1950- An introduction to homological algebra Cambridge studies in advanced mathematics Homologische Algebra (DE-588)4160598-6 gnd |
| subject_GND | (DE-588)4160598-6 |
| title | An introduction to homological algebra |
| title_auth | An introduction to homological algebra |
| title_exact_search | An introduction to homological algebra |
| title_full | An introduction to homological algebra Charles A. Weibel (Department of Mathematics Rutgers University) |
| title_fullStr | An introduction to homological algebra Charles A. Weibel (Department of Mathematics Rutgers University) |
| title_full_unstemmed | An introduction to homological algebra Charles A. Weibel (Department of Mathematics Rutgers University) |
| title_short | An introduction to homological algebra |
| title_sort | an introduction to homological algebra |
| topic | Homologische Algebra (DE-588)4160598-6 gnd |
| topic_facet | Homologische Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012986655&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003678 |
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