A first course in noncommutative rings:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
New York [u.a.]
Springer
2001
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Graduate texts in mathematics
131 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIX, 385 S. |
| ISBN: | 0387953256 9780387953250 0387951830 |
Internformat
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Datensatz im Suchindex
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| adam_text | T.Y. LAM A FIRST COURSE IN NONCOMMUTATIVE RINGS SECOND EDITION SPRINGER
CONTENTS PREFACE TO THE SECOND EDITION VII PREFACE TO THE FIRST EDITION
IX NOTES TO THE READER XVII CHAPTER 1 WEDDERBURN-ARTIN THEORY 1 §1.
BASIC TERMINOLOGY AND EXAMPLES 2 EXERCISES FOR §1 22 §2. SEMISIMPLICITY
25 EXERCISES FOR §2 29 §3. STRUCTURE OF SEMISIMPLE RINGS 30 EXERCISES
FOR §3 45 CHAPTER 2 JACOBSON RADICAL THEORY 48 §4. THE JACOBSON RADICAL
50 EXERCISES FOR §4 63 §5. JACOBSON RADICAL UNDER CHANGE OF RINGS 67
EXERCISES FOR §5 77 §6. GROUP RINGS AND THE /-SEMISIMPLICITY PROBLEM 78
EXERCISES FOR §6 98 CHAPTER 3 INTRODUCTION TO REPRESENTATION THEORY 101
§7. MODULES OVER FINITE-DIMENSIONAL ALGEBRAS 102 EXERCISES FOR §7 116
XIV CONTENTS §8. REPRESENTATIONS OF GROUPS 117 EXERCISES FOR §8 137 §9.
LINEAR GROUPS 141 EXERCISES FOR §9 152 CHAPTER 4 PRIME AND PRIMITIVE
RINGS 153 §10. THE PRIME RADICAL; PRIME AND SEMIPRIME RINGS 154
EXERCISES FOR §10 168 §11. STRUCTURE OF PRIMITIVE RINGS; THE DENSITY
THEOREM 171 EXERCISES FOR §11 188 §12. SUBDIRECT PRODUCTS AND
COMMUTATIVITY THEOREMS 191 EXERCISES FOR §12 198 CHAPTER 5 INTRODUCTION
TO DIVISION RINGS 202 §13. DIVISION RINGS 203 EXERCISES FOR § 13 214
§14. SOME CLASSICAL CONSTRUCTIONS 216 EXERCISES FOR §14 235 §15. TENSOR
PRODUCTS AND MAXIMAL SUBFIELDS 238 EXERCISES FOR §15 247 §16.
POLYNOMIALS OVER DIVISION RINGS 248 EXERCISES FOR §16 258 CHAPTER 6
ORDERED STRUCTURES IN RINGS 261 §17. ORDERINGS AND PREORDERINGS IN RINGS
262 EXERCISES FOR §17 269 §18. ORDERED DIVISION RINGS 270 EXERCISES FOR
SI8 276 CHAPTER 7 LOCAL RINGS, SEMILOCAL RINGS, AND IDEMPOTENTS 279 §19.
LOCAL RINGS 279 EXERCISES FOR §19 293 §20. SEMILOCAL RINGS 296 APPENDIX:
ENDOMORPHISM RINGS OF UNISERIAL MODULES 302 EXERCISES FOR §20 306 §21.
TH THEORY OF IDEMPOTENTS 308 EXERCISES FOR §21 322 §22. CENTRAL
IDEMPOTENTS AND BLOCK DECOMPOSITIONS 326 EXERCISES FOR §22 333 CONTENTS
XV CHAPTER 8 PERFECT AND SEMIPERFECT RINGS 335 §23. PERFECT AND
SEMIPERFECT RINGS 336 EXERCISES FOR §23 346 §24. HOMOLOGICAL
CHARACTERIZATIONS OF PERFECT AND SEMIPERFECT RINGS 347 EXERCISES FOR §24
358 §25. PRINCIPAL INDECOMPOSABLES AND BASIC RINGS 359 EXERCISES FOR §25
368 REFERENCES 370 NAME INDEX 373 SUBJECT INDEX 377
|
| any_adam_object | 1 |
| author | Lam, Tsit-Yuen 1942- |
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| author_facet | Lam, Tsit-Yuen 1942- |
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| author_variant | t y l tyl |
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| classification_rvk | SK 230 |
| ctrlnum | (OCoLC)45270372 (DE-599)BVBBV013902931 |
| 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 | 2. ed. |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:54:10Z |
| institution | BVB |
| isbn | 0387953256 9780387953250 0387951830 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009514397 |
| oclc_num | 45270372 |
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| owner_facet | DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-634 DE-11 DE-20 DE-83 |
| physical | XIX, 385 S. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Springer |
| record_format | marc |
| series | Graduate texts in mathematics |
| series2 | Graduate texts in mathematics |
| spelling | Lam, Tsit-Yuen 1942- (DE-588)123117704 aut A first course in noncommutative rings T. Y. Lam 2. ed. New York [u.a.] Springer 2001 XIX, 385 S. txt rdacontent n rdamedia nc rdacarrier Graduate texts in mathematics 131 Anneaux non commutatifs Anéis e álgebras associativos larpcal Niet-commutatieve structuren gtt Ringen (wiskunde) gtt Noncommutative rings Ringtheorie (DE-588)4126571-3 gnd rswk-swf Nichtkommutativer Ring (DE-588)4246997-1 gnd rswk-swf Nichtkommutativer Ring (DE-588)4246997-1 s DE-604 Ringtheorie (DE-588)4126571-3 s Graduate texts in mathematics 131 (DE-604)BV000000067 131 HEBIS Datenaustausch Mainz application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009514397&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lam, Tsit-Yuen 1942- A first course in noncommutative rings Graduate texts in mathematics Anneaux non commutatifs Anéis e álgebras associativos larpcal Niet-commutatieve structuren gtt Ringen (wiskunde) gtt Noncommutative rings Ringtheorie (DE-588)4126571-3 gnd Nichtkommutativer Ring (DE-588)4246997-1 gnd |
| subject_GND | (DE-588)4126571-3 (DE-588)4246997-1 |
| title | A first course in noncommutative rings |
| title_auth | A first course in noncommutative rings |
| title_exact_search | A first course in noncommutative rings |
| title_full | A first course in noncommutative rings T. Y. Lam |
| title_fullStr | A first course in noncommutative rings T. Y. Lam |
| title_full_unstemmed | A first course in noncommutative rings T. Y. Lam |
| title_short | A first course in noncommutative rings |
| title_sort | a first course in noncommutative rings |
| topic | Anneaux non commutatifs Anéis e álgebras associativos larpcal Niet-commutatieve structuren gtt Ringen (wiskunde) gtt Noncommutative rings Ringtheorie (DE-588)4126571-3 gnd Nichtkommutativer Ring (DE-588)4246997-1 gnd |
| topic_facet | Anneaux non commutatifs Anéis e álgebras associativos Niet-commutatieve structuren Ringen (wiskunde) Noncommutative rings Ringtheorie Nichtkommutativer Ring |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009514397&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000067 |
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