Commutative rings:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Washington, NJ
Polygonal Publ. House
1994
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Ausgabe: | Rev. ed., [Nachdr.] |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Literaturverz. S. [171] - 173 |
Beschreibung: | 182 S. Ill. |
ISBN: | 0936428155 |
Internformat
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Datensatz im Suchindex
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adam_text | COMMUTATIVE RINGS IRVING KAPLANSKY POLYGONAL PUBLISHING HOUSE
WASHINGTON, NEW JERSEY CONTENTS PREFACE CHAPTER 1 PRIME IDEALS AND
INTEGRAL EXTENSIONS 1 1-1 PRIME IDEALS 1 1-2 INTEGRAL ELEMENTS, I 8 1-3
G-IDEALS, HUBERT RINGS, AND THE NULLSTELLENSATZ 12 1-4 LOCALIZATION 22
1-5 PRIME IDEALS IN POLYNOMIAL RINGS 25 1-6 INTEGRAL ELEMENTS, II 27
CHAPTER 2 NOETHERIAN RINGS 47 2-1 THE ASCENDING CHAIN CONDITION 47 2-2
ZERO-DIVISORS 54 2-3 INTEGRAL ELEMENTS, III 66 2-4 INTERSECTIONS OF
QUASI-LOCAL DOMAINS 75 CHAPTER 3 MACAULAY RINGS AND REGULAER RINGS 84 3-1
R-SEQUENCES AND MACAULAY RINGS 84 3-2 THE PRINCIPAL IDEAL THEOREM 104
3-3 REGULAER RINGS 115 CHAPTER 4 HOMOLOGICAL ASPECTS OF RING THEORY 123
4-1 HOMOLOGY 123 4-2 UNIQUE FACTORIZATION 130 4-3 THE EULER
CHARACTERISTIC 137 4-4 CHANGE OF RINGS FOR INJECTIVE DIMENSION 149 4-5
GORENSTEIN RINGS 156 4-6 DUALITY 165 NOTES 169 BIBLIOGRAPHY 171 INDEX OF
THEOREMS 174 INDEX OF TOPICS 181
|
adam_txt |
COMMUTATIVE RINGS IRVING KAPLANSKY POLYGONAL PUBLISHING HOUSE
WASHINGTON, NEW JERSEY CONTENTS PREFACE CHAPTER 1 PRIME IDEALS AND
INTEGRAL EXTENSIONS 1 1-1 PRIME IDEALS 1 1-2 INTEGRAL ELEMENTS, I 8 1-3
G-IDEALS, HUBERT RINGS, AND THE NULLSTELLENSATZ 12 1-4 LOCALIZATION 22
1-5 PRIME IDEALS IN POLYNOMIAL RINGS 25 1-6 INTEGRAL ELEMENTS, II 27
CHAPTER 2 NOETHERIAN RINGS 47 2-1 THE ASCENDING CHAIN CONDITION 47 2-2
ZERO-DIVISORS 54 2-3 INTEGRAL ELEMENTS, III 66 2-4 INTERSECTIONS OF
QUASI-LOCAL DOMAINS 75 CHAPTER 3 MACAULAY RINGS AND REGULAER RINGS 84 3-1
R-SEQUENCES AND MACAULAY RINGS 84 3-2 THE PRINCIPAL IDEAL THEOREM 104
3-3 REGULAER RINGS 115 CHAPTER 4 HOMOLOGICAL ASPECTS OF RING THEORY 123
4-1 HOMOLOGY 123 4-2 UNIQUE FACTORIZATION 130 4-3 THE EULER
CHARACTERISTIC 137 4-4 CHANGE OF RINGS FOR INJECTIVE DIMENSION 149 4-5
GORENSTEIN RINGS 156 4-6 DUALITY 165 NOTES 169 BIBLIOGRAPHY 171 INDEX OF
THEOREMS 174 INDEX OF TOPICS 181 |
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author | Kaplansky, Irving 1917-2006 |
author_GND | (DE-588)119264358 |
author_facet | Kaplansky, Irving 1917-2006 |
author_role | aut |
author_sort | Kaplansky, Irving 1917-2006 |
author_variant | i k ik |
building | Verbundindex |
bvnumber | BV021952793 |
callnumber-first | Q - Science |
callnumber-label | QA251 |
callnumber-raw | QA251.3 |
callnumber-search | QA251.3 |
callnumber-sort | QA 3251.3 |
callnumber-subject | QA - Mathematics |
classification_rvk | SK 230 |
ctrlnum | (OCoLC)30076269 (DE-599)BVBBV021952793 |
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 |
discipline_str_mv | Mathematik |
edition | Rev. ed., [Nachdr.] |
format | Book |
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id | DE-604.BV021952793 |
illustrated | Illustrated |
index_date | 2024-07-02T16:07:51Z |
indexdate | 2024-07-09T20:48:08Z |
institution | BVB |
isbn | 0936428155 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015167943 |
oclc_num | 30076269 |
open_access_boolean | |
owner | DE-706 DE-634 |
owner_facet | DE-706 DE-634 |
physical | 182 S. Ill. |
publishDate | 1994 |
publishDateSearch | 1994 |
publishDateSort | 1994 |
publisher | Polygonal Publ. House |
record_format | marc |
spelling | Kaplansky, Irving 1917-2006 Verfasser (DE-588)119264358 aut Commutative rings Irving Kaplansky Rev. ed., [Nachdr.] Washington, NJ Polygonal Publ. House 1994 182 S. Ill. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. [171] - 173 Commutative rings Kommutativer Ring (DE-588)4164825-0 gnd rswk-swf Kommutativer Ring (DE-588)4164825-0 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015167943&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Kaplansky, Irving 1917-2006 Commutative rings Commutative rings Kommutativer Ring (DE-588)4164825-0 gnd |
subject_GND | (DE-588)4164825-0 |
title | Commutative rings |
title_auth | Commutative rings |
title_exact_search | Commutative rings |
title_exact_search_txtP | Commutative rings |
title_full | Commutative rings Irving Kaplansky |
title_fullStr | Commutative rings Irving Kaplansky |
title_full_unstemmed | Commutative rings Irving Kaplansky |
title_short | Commutative rings |
title_sort | commutative rings |
topic | Commutative rings Kommutativer Ring (DE-588)4164825-0 gnd |
topic_facet | Commutative rings Kommutativer Ring |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015167943&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT kaplanskyirving commutativerings |