Infinite group rings:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York
Dekker
1971
|
| Series: | Pure and applied mathematics
6 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 149 S. |
| ISBN: | 0824715233 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804117097776676864 |
|---|---|
| adam_text | CONTENTS
PREFACE v
CHAPTER I. LINEAR IDENTITIES l
1. Basic reduction 1
2. Prime rings 4
3. Semiprime rings 8
4. Polynomial identities 11
5. Polynomial identity rings 16
6. Prime polynomial identity rings 20
7. Orders 24
CHAPTER II. BOUNDED REPRESENTATION DEGREE 31
8. Irreducible representations 31
9. Large centralizers 35
10. Modules 38
11. Reduction in special cases 44
12. Finite groups with r.b. n 49
13. Semiprime polynomial identity rings 52
14. Examples 56
vii
Viii CONTENTS
CHAPTER III. NIL AND NILPOTENT IDEALS 61
15. Relative projectivity 61
16. Finite extensions 64
17. Abelian extensions 69
18. Semisimple rings 75
19. Locally finite groups 79
20. The nilpotent radical 83
21. More examples 87
CHAPTER IV. IDEMPOTENTS AND ANNIHILATORS 93
22. Trace of idempotents 93
23. Central idempotents 98
24. Regular rings 103
25. Annihilator ideals 106
26. Zero divisors 110
27. Graded polynomial rings 114
28. Algebraic rings 118
CHAPTER V. RESEARCH PROBLEMS 123
REFERENCES 141
NOTATION 145
INDEX 147
|
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV002744624 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:48:59Z |
| institution | BVB |
| isbn | 0824715233 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001754878 |
| oclc_num | 201691 |
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| physical | VIII, 149 S. |
| publishDate | 1971 |
| publishDateSearch | 1971 |
| publishDateSort | 1971 |
| publisher | Dekker |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Passman, Donald S. 1940- Verfasser (DE-588)129642231 aut Infinite group rings Donald S. Passman New York Dekker 1971 VIII, 149 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 6 Anneaux de groupes Group rings Gruppenring (DE-588)4158469-7 gnd rswk-swf Gruppenring (DE-588)4158469-7 s DE-604 Pure and applied mathematics 6 (DE-604)BV000001885 6 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001754878&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Passman, Donald S. 1940- Infinite group rings Pure and applied mathematics Anneaux de groupes Group rings Gruppenring (DE-588)4158469-7 gnd |
| subject_GND | (DE-588)4158469-7 |
| title | Infinite group rings |
| title_auth | Infinite group rings |
| title_exact_search | Infinite group rings |
| title_full | Infinite group rings Donald S. Passman |
| title_fullStr | Infinite group rings Donald S. Passman |
| title_full_unstemmed | Infinite group rings Donald S. Passman |
| title_short | Infinite group rings |
| title_sort | infinite group rings |
| topic | Anneaux de groupes Group rings Gruppenring (DE-588)4158469-7 gnd |
| topic_facet | Anneaux de groupes Group rings Gruppenring |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001754878&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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