Ring theory: Nonsingular rings and modules
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York
Dekker
1976
|
| Series: | Pure and applied mathematics
33. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VII, 206 S. |
| ISBN: | 0824763548 |
Staff View
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface iii
Background Sketch 1
1. Essential Extensions and Singular Submodules 15
A. Essential Extensions 15
B. Injective Hulls 20
C. Semisimple Modules 26
D. The Singular Submodule 30
2. Localization and Maximal Quotient Rings 39
A. Localization 39
B. Endomorphism Rings of Quasi injective Modules 48
C. Maximal Quotient Rings 54
D. Coincidence of Right and Left Quotient Rings 62
3. Finiteness Conditions 69
A. Essential Finite Generation 70
B. Finite dimensionality 79
C. Uniform Modules 85
D. Goldie Rings 95
4. Construction Techniques 103
A. Formal Triangular Matrix Rings 103
B. Essential Products 114
C. Subidealizers 121
vii
viii Contents
5. Rings Whose Nonsingular Modules Are Projective 131
A. Perfect Rings 131
B. Direct Products of Flat and Projective Modules 140
C. Projective Nonsingular Modules 146
6. Nonsingular Injective Modules 159
A. Prime Ideals in S°R 159
B. Directly Finite Modules 165
C. Directly Infinite Modules 174
Historical Notes 183
Bibliography 191
Index 201
|
| any_adam_object | 1 |
| author | Goodearl, Kenneth R. |
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| ctrlnum | (OCoLC)2169399 (DE-599)BVBBV001971485 |
| 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 |
| format | Book |
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| id | DE-604.BV001971485 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:38:09Z |
| institution | BVB |
| isbn | 0824763548 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001285847 |
| oclc_num | 2169399 |
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| physical | VII, 206 S. |
| psigel | TUB-nveb |
| publishDate | 1976 |
| publishDateSearch | 1976 |
| publishDateSort | 1976 |
| publisher | Dekker |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Goodearl, Kenneth R. Verfasser aut Ring theory Nonsingular rings and modules Kenneth R. Goodearl New York Dekker 1976 VII, 206 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 33. Anneaux non commutatifs Noncommutative rings Nichtsingulärer Ring (DE-588)4535539-3 gnd rswk-swf Ring Mathematik (DE-588)4128084-2 gnd rswk-swf Modul (DE-588)4129770-2 gnd rswk-swf Nichtkommutativer Ring (DE-588)4246997-1 gnd rswk-swf Nichtkommutativer Ring (DE-588)4246997-1 s DE-604 Nichtsingulärer Ring (DE-588)4535539-3 s Modul (DE-588)4129770-2 s Ring Mathematik (DE-588)4128084-2 s Pure and applied mathematics 33. (DE-604)BV000001885 33. HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001285847&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Goodearl, Kenneth R. Ring theory Nonsingular rings and modules Pure and applied mathematics Anneaux non commutatifs Noncommutative rings Nichtsingulärer Ring (DE-588)4535539-3 gnd Ring Mathematik (DE-588)4128084-2 gnd Modul (DE-588)4129770-2 gnd Nichtkommutativer Ring (DE-588)4246997-1 gnd |
| subject_GND | (DE-588)4535539-3 (DE-588)4128084-2 (DE-588)4129770-2 (DE-588)4246997-1 |
| title | Ring theory Nonsingular rings and modules |
| title_auth | Ring theory Nonsingular rings and modules |
| title_exact_search | Ring theory Nonsingular rings and modules |
| title_full | Ring theory Nonsingular rings and modules Kenneth R. Goodearl |
| title_fullStr | Ring theory Nonsingular rings and modules Kenneth R. Goodearl |
| title_full_unstemmed | Ring theory Nonsingular rings and modules Kenneth R. Goodearl |
| title_short | Ring theory |
| title_sort | ring theory nonsingular rings and modules |
| title_sub | Nonsingular rings and modules |
| topic | Anneaux non commutatifs Noncommutative rings Nichtsingulärer Ring (DE-588)4535539-3 gnd Ring Mathematik (DE-588)4128084-2 gnd Modul (DE-588)4129770-2 gnd Nichtkommutativer Ring (DE-588)4246997-1 gnd |
| topic_facet | Anneaux non commutatifs Noncommutative rings Nichtsingulärer Ring Ring Mathematik Modul Nichtkommutativer Ring |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001285847&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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