Exercises in classical ring theory:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | German |
Veröffentlicht: |
New York [u.a.]
Springer
2003
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Ausgabe: | 2. ed. |
Schriftenreihe: | Problem Books in Mathematics
|
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XIX, 359 S. |
ISBN: | 0387005005 |
Internformat
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Datensatz im Suchindex
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adam_text | T.Y. LAM EXERCISES IN CLASSICAL RING THEORY SECOND EDITION SPRINGER
CONTENTS PREFACE TO THE SECOND EDITION VII PREFACE TO THE FIRST EDITION
IX NOTES TO THE READER XVII 1 WEDDERBURN-ARTIN THEORY 1 §1. BASIC
TERMINOLOGY AND EXAMPLES 1 39 EXERCISES §2. SEMISIMPLICITY 26 13
EXERCISES §3. STRUCTURE OF SEMISIMPLE RINGS 32 27 EXERCISES 2 JACOBSON
RADICAL THEORY 49 §4. THE JACOBSON RADICAL 49 38 EXERCISES §5. JACOBSON
RADICAL UNDER CHANGE OF RINGS 74 15 EXERCISES §6. GROUP RINGS AND THE
J-SEMISIMPLICITY PROBLEM 82 21 EXERCISES 3 INTRODUCTION TO
REPRESENTATION THEORY 99 §7. MODULES OVER FINITE-DIMENSIONAL ALGEBRAS 99
10 EXERCISES XIV CONTENTS §8. REPRESENTATIONS OF GROUPS 104 31 EXERCISES
§9. LINEAR GROUPS 134 8 EXERCISES 4 PRIME AND PRIMITIVE RINGS 141 §10.
THE PRIME RADICAL; PRIME AND SEMIPRIME RINGS 141 32 EXERCISES §11.
STRUCTURE OF PRIMITIVE RINGS; THE DENSITY THEOREM 161 . 24 EXERCISES
§12. SUBDIRECT PRODUCTS AND COMMUTATIVITY THEOREMS 178 32 EXERCISES 5
INTRODUCTION TO DIVISION RINGS 201 §13. DIVISION RINGS 201 19 EXERCISES
§14. SOME CLASSICAL CONSTRUCTIONS 211 19 EXERCISES §15. TENSOR PRODUCTS
AND MAXIMAL SUBFIELDS 228 6 EXERCISES §16. POLYNOMIALS OVER DIVISION
RINGS 231 18 EXERCISES 6 ORDERED STRUCTURES IN RINGS 247 §17. ORDERINGS
AND PREORDERINGS IN RINGS 247 15 EXERCISES §18. ORDERED DIVISION RINGS
258 7 EXERCISES 7 LOCAL RINGS, SEMILOCAL RINGS, AND IDEMPOTENTS 267 §19.
LOCAL RINGS 267 17 EXERCISES §20. SEMILOCAL RINGS 278 20 EXERCISES §21.
THE THEORY OF IDEMPOTENTS 291 35 EXERCISES §22. CENTRAL IDEMPOTENTS AND
BLOCK DECOMPOSITIONS 315 13 EXERCISES CONTENTS XV 8 PERFECT AND
SEMIPERFECT RINGS 325 §23. PERFECT AND SEMIPERFECT RINGS 325 11
EXERCISES §24. HOMOLOGICAL CHARACTERIZATIONS OF PERFECT AND SEMIPERFECT
RINGS 336 10 EXERCISES §25. PRINCIPAL INDECOMPOSABLES AND BASIC RINGS
343 5 EXERCISES NAME INDEX 349 SUBJECT INDEX 353
|
any_adam_object | 1 |
author | Lam, Tsit-Yuen |
author_facet | Lam, Tsit-Yuen |
author_role | aut |
author_sort | Lam, Tsit-Yuen |
author_variant | t y l tyl |
building | Verbundindex |
bvnumber | BV017448553 |
callnumber-first | Q - Science |
callnumber-label | QA247 |
callnumber-raw | QA247 |
callnumber-search | QA247 |
callnumber-sort | QA 3247 |
callnumber-subject | QA - Mathematics |
classification_rvk | SK 230 |
ctrlnum | (OCoLC)51566347 (DE-599)BVBBV017448553 |
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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genre_facet | Aufgabensammlung |
id | DE-604.BV017448553 |
illustrated | Not Illustrated |
indexdate | 2024-07-09T19:18:07Z |
institution | BVB |
isbn | 0387005005 |
language | German |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010511084 |
oclc_num | 51566347 |
open_access_boolean | |
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owner_facet | DE-355 DE-BY-UBR DE-634 DE-11 DE-188 |
physical | XIX, 359 S. |
publishDate | 2003 |
publishDateSearch | 2003 |
publishDateSort | 2003 |
publisher | Springer |
record_format | marc |
series2 | Problem Books in Mathematics |
spelling | Lam, Tsit-Yuen Verfasser aut Exercises in classical ring theory T. Y. Lam 2. ed. New York [u.a.] Springer 2003 XIX, 359 S. txt rdacontent n rdamedia nc rdacarrier Problem Books in Mathematics Teoria dos anéis larpcal Álgebra larpcal Rings (Algebra) Ringtheorie (DE-588)4126571-3 gnd rswk-swf (DE-588)4143389-0 Aufgabensammlung gnd-content Ringtheorie (DE-588)4126571-3 s DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010511084&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Lam, Tsit-Yuen Exercises in classical ring theory Teoria dos anéis larpcal Álgebra larpcal Rings (Algebra) Ringtheorie (DE-588)4126571-3 gnd |
subject_GND | (DE-588)4126571-3 (DE-588)4143389-0 |
title | Exercises in classical ring theory |
title_auth | Exercises in classical ring theory |
title_exact_search | Exercises in classical ring theory |
title_full | Exercises in classical ring theory T. Y. Lam |
title_fullStr | Exercises in classical ring theory T. Y. Lam |
title_full_unstemmed | Exercises in classical ring theory T. Y. Lam |
title_short | Exercises in classical ring theory |
title_sort | exercises in classical ring theory |
topic | Teoria dos anéis larpcal Álgebra larpcal Rings (Algebra) Ringtheorie (DE-588)4126571-3 gnd |
topic_facet | Teoria dos anéis Álgebra Rings (Algebra) Ringtheorie Aufgabensammlung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010511084&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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