Rings and homology:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Holt, Rinehart & Winston
1964
|
| Schriftenreihe: | Athena series
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VII, 88 S. |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Preface v
1. Basic Concepts 1
Schur s Lemma 4
Another Version of Schur s Lemma 4
2. Everybody Splits 12
Structure Theorem for Semisimple Rings with Minimum Condition 12
First Uniqueness Theorem 19
Second Uniqueness Theorem 21
3. Complexes, Homology, and Ext 27
The Exact Sequence of Homology Theorem 28
Theorem (Splitting of Ext) 43
4. Various Dimensions 47
The Shifting Theorem 47
The Dimension Theorem 48
Injective Producing Lemma 52
Shifting Theorem for Injectives 54
The Injective Dimension Theorem 55
Global Dimension Theorem 55
5. Duality and Quasi Frobenius Rings 65
Third Dual Theorem 67
Some Properties of Torsionless Modules 67
Torsionless and Dual Theorem 69
References 83
Index 85
|
| any_adam_object | 1 |
| author | Jans, James Patrick 1927- |
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| dewey-ones | 512 - Algebra |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV002745335 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:49:00Z |
| institution | BVB |
| language | English |
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| physical | VII, 88 S. |
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| publishDate | 1964 |
| publishDateSearch | 1964 |
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| publisher | Holt, Rinehart & Winston |
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| spelling | Jans, James Patrick 1927- Verfasser (DE-588)172167183 aut Rings and homology James P. Jans New York [u.a.] Holt, Rinehart & Winston 1964 VII, 88 S. txt rdacontent n rdamedia nc rdacarrier Athena series Anneaux (Algèbre) Anneaux (algèbre) ram Homologie ram Ring Mathematik (DE-588)4128084-2 gnd rswk-swf Homologie (DE-588)4141951-0 gnd rswk-swf Ring Mathematik (DE-588)4128084-2 s Homologie (DE-588)4141951-0 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001755361&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jans, James Patrick 1927- Rings and homology Anneaux (Algèbre) Anneaux (algèbre) ram Homologie ram Ring Mathematik (DE-588)4128084-2 gnd Homologie (DE-588)4141951-0 gnd |
| subject_GND | (DE-588)4128084-2 (DE-588)4141951-0 |
| title | Rings and homology |
| title_auth | Rings and homology |
| title_exact_search | Rings and homology |
| title_full | Rings and homology James P. Jans |
| title_fullStr | Rings and homology James P. Jans |
| title_full_unstemmed | Rings and homology James P. Jans |
| title_short | Rings and homology |
| title_sort | rings and homology |
| topic | Anneaux (Algèbre) Anneaux (algèbre) ram Homologie ram Ring Mathematik (DE-588)4128084-2 gnd Homologie (DE-588)4141951-0 gnd |
| topic_facet | Anneaux (Algèbre) Anneaux (algèbre) Homologie Ring Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001755361&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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