Injective modules and injective quotient rings:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York u.a.
Dekker
1982
|
| Series: | Lecture notes in pure and applied mathematics.
72. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 105 S. |
| ISBN: | 0824716329 |
Staff View
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Record in the Search Index
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| adam_text | CONTENTS
PREFACE iit
PART I INJECTIVE MODULES OVER LEVITZKI RINGS
Abstract 1
1. Introduction 2
2. Annihilators and the Galois Connection 7
3. Levitzki Modules 9
4. Finite Annihilators 11
5. Sigma Quasi injective Modules 13
Appendix 21
6. Lemmas from Fitting Krull Schmidt 23
7. The Teply Miller Theorem 27
8. A Injective Modules 30
9. Kasch Rings 36
10. A Rings 43
Appendix 46
11. Injective Modules Over Nonnoetherian Commutative Rings 47
11.1 Introduction 47
11.2 Preliminaries 49
11.3 Proof of Beck s Theorem 50
11.4 Commutative Sigma and Delta Rings 53
11.5 Artinian (Noetherian) Injectives Are Sigma
(Delta) Injective 60
11.6 A Polynomial Rings Are Polynomials Over A Rings 61
Problems 61
Notes 63
Acknowledgments 65
References 66
PART II INJECTIVE QUOTIENT RINGS OF COMMUTATIVE RINGS
Abstract 71
1. Introduction 72
2. Survey of Relevant Background 75
3. Lemmas 79
4. Proof of Theorem B 83
5. Quotient injective Pre FPF Rings Are FPF 85
6. CFPF = FSI 89
7. FPF Rings with Semilocal Quotient Rings 90
viii Contents
8. FPF Rings with PF Quotient Rings 94
9. Note on the Genus of a Module and Generic Families
of Rings 96
10. FP2F and CFP2F Rings and the Big Genus 97
Problems 97
References 99
Abbreviations 101
INDEX 103
|
| any_adam_object | 1 |
| author | Faith, Carl Clifton 1927-2014 |
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| ctrlnum | (OCoLC)260190416 (DE-599)BVBBV003611260 |
| discipline | Mathematik |
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| id | DE-604.BV003611260 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:02:43Z |
| institution | BVB |
| isbn | 0824716329 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002300041 |
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| physical | VIII, 105 S. |
| publishDate | 1982 |
| publishDateSearch | 1982 |
| publishDateSort | 1982 |
| publisher | Dekker |
| record_format | marc |
| series | Lecture notes in pure and applied mathematics. |
| series2 | Lecture notes in pure and applied mathematics. |
| spelling | Faith, Carl Clifton 1927-2014 Verfasser (DE-588)123040523 aut Injective modules and injective quotient rings New York u.a. Dekker 1982 VIII, 105 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in pure and applied mathematics. 72. Injektiver Modul (DE-588)4161753-8 gnd rswk-swf Quotientenring (DE-588)4176745-7 gnd rswk-swf Injektiver Quotientenring (DE-588)4161755-1 gnd rswk-swf Quotientenring (DE-588)4176745-7 s DE-604 Injektiver Modul (DE-588)4161753-8 s Injektiver Quotientenring (DE-588)4161755-1 s Lecture notes in pure and applied mathematics. 72. (DE-604)BV005871364 72. HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002300041&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Faith, Carl Clifton 1927-2014 Injective modules and injective quotient rings Lecture notes in pure and applied mathematics. Injektiver Modul (DE-588)4161753-8 gnd Quotientenring (DE-588)4176745-7 gnd Injektiver Quotientenring (DE-588)4161755-1 gnd |
| subject_GND | (DE-588)4161753-8 (DE-588)4176745-7 (DE-588)4161755-1 |
| title | Injective modules and injective quotient rings |
| title_auth | Injective modules and injective quotient rings |
| title_exact_search | Injective modules and injective quotient rings |
| title_full | Injective modules and injective quotient rings |
| title_fullStr | Injective modules and injective quotient rings |
| title_full_unstemmed | Injective modules and injective quotient rings |
| title_short | Injective modules and injective quotient rings |
| title_sort | injective modules and injective quotient rings |
| topic | Injektiver Modul (DE-588)4161753-8 gnd Quotientenring (DE-588)4176745-7 gnd Injektiver Quotientenring (DE-588)4161755-1 gnd |
| topic_facet | Injektiver Modul Quotientenring Injektiver Quotientenring |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002300041&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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