Continuous and discrete modules:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
1990
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | London Mathematical Society: London Mathematical Society lecture note series
147 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 126 S. |
| ISBN: | 0521399750 |
Internformat
MARC
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| 100 | 1 | |a Mohamed, Saad H. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Continuous and discrete modules |c Saad H. Mohamed ; Bruno J. Müller |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 1990 | |
| 300 | |a 126 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society: London Mathematical Society lecture note series |v 147 | |
| 650 | 7 | |a Modules (Algèbre) |2 ram | |
| 650 | 4 | |a Decomposition (Mathematics) | |
| 650 | 4 | |a Injective modules (Algebra) | |
| 650 | 4 | |a Projective modules (Algebra) | |
| 650 | 4 | |a Representations of rings (Algebra) | |
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Datensatz im Suchindex
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| adam_text | TABLE OF CONTENTS
Preface
Table of contents
Chapter 1: Injectivity and related concepts 1
1. A injective modules 1
2. Quasi injective modules 7
3. Exchange and cancellation properties 8
4. Decomposition theorems 12
Comments 16
Chapter 2: Quasi continuous modules 18
1. Basic properties 18
2. Direct sums of quasi continuous modules 21
3. Decompositions of quasi continuous modules 24
4. Internal cancellation property 33
5. Quasi continuity versus quasi injectivity 35
Comments 37
Chapter 3: Continuous modules 39
1. Endomorphism rings 39
2. Continuous modules 46
3. The exchange property 48
Comments 53
Chapter 4: Quasi discrete modules 55
1. Definition and basic results 55
2. Decomposition theorems 59
3. Applications of the decomposition theorems 62
4. Discreteness and projectivity 67
5. Quasi discreteness of direct sums 74
Comments 79
Chapter 5: Discrete modules 81
1. Discrete modules 81
2. Endomorphism rings 82
3. Commutative noetherian rings 86
Comments 94
Appendix 95
1. Variants of supplementation 95
2. Supplements are summands 98
3. Extending modules 99
4. The historial origin of the concept of 100
continuity
5. N continuity 103
6. Open questions 105
Bibliography 108
Notation 122
Index 124
|
| any_adam_object | 1 |
| author | Mohamed, Saad H. Müller, Bruno J. |
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| dewey-full | 512/.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.4 |
| dewey-search | 512/.4 |
| dewey-sort | 3512 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV003572090 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:02:06Z |
| institution | BVB |
| isbn | 0521399750 |
| language | English |
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| physical | 126 S. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | London Mathematical Society: London Mathematical Society lecture note series |
| series2 | London Mathematical Society: London Mathematical Society lecture note series |
| spelling | Mohamed, Saad H. Verfasser aut Continuous and discrete modules Saad H. Mohamed ; Bruno J. Müller 1. publ. Cambridge [u.a.] Cambridge Univ. Press 1990 126 S. txt rdacontent n rdamedia nc rdacarrier London Mathematical Society: London Mathematical Society lecture note series 147 Modules (Algèbre) ram Decomposition (Mathematics) Injective modules (Algebra) Projective modules (Algebra) Representations of rings (Algebra) Stetiger Modul (DE-588)4200110-9 gnd rswk-swf Diskreter Modul (DE-588)4232089-6 gnd rswk-swf Stetiger Modul (DE-588)4200110-9 s DE-604 Diskreter Modul (DE-588)4232089-6 s Müller, Bruno J. Verfasser aut London Mathematical Society: London Mathematical Society lecture note series 147 (DE-604)BV000000130 147 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002273896&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mohamed, Saad H. Müller, Bruno J. Continuous and discrete modules London Mathematical Society: London Mathematical Society lecture note series Modules (Algèbre) ram Decomposition (Mathematics) Injective modules (Algebra) Projective modules (Algebra) Representations of rings (Algebra) Stetiger Modul (DE-588)4200110-9 gnd Diskreter Modul (DE-588)4232089-6 gnd |
| subject_GND | (DE-588)4200110-9 (DE-588)4232089-6 |
| title | Continuous and discrete modules |
| title_auth | Continuous and discrete modules |
| title_exact_search | Continuous and discrete modules |
| title_full | Continuous and discrete modules Saad H. Mohamed ; Bruno J. Müller |
| title_fullStr | Continuous and discrete modules Saad H. Mohamed ; Bruno J. Müller |
| title_full_unstemmed | Continuous and discrete modules Saad H. Mohamed ; Bruno J. Müller |
| title_short | Continuous and discrete modules |
| title_sort | continuous and discrete modules |
| topic | Modules (Algèbre) ram Decomposition (Mathematics) Injective modules (Algebra) Projective modules (Algebra) Representations of rings (Algebra) Stetiger Modul (DE-588)4200110-9 gnd Diskreter Modul (DE-588)4232089-6 gnd |
| topic_facet | Modules (Algèbre) Decomposition (Mathematics) Injective modules (Algebra) Projective modules (Algebra) Representations of rings (Algebra) Stetiger Modul Diskreter Modul |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002273896&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000130 |
| work_keys_str_mv | AT mohamedsaadh continuousanddiscretemodules AT mullerbrunoj continuousanddiscretemodules |