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Commutative rings:

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Bibliographic Details
Main Author:	Kaplansky, Irving 1917-2006 (Author)
Format:	Book
Language:	English
Published:	Washington, NJ Polygonal Publ. House 1994
Edition:	Rev. ed., [Nachdr.]
Subjects:	Commutative rings Kommutativer Ring
Online Access:	Inhaltsverzeichnis
Item Description:	Literaturverz. S. [171] - 173
Physical Description:	182 S. Ill.
ISBN:	0936428155

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MARC


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Record in the Search Index

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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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discipline	Mathematik
discipline_str_mv	Mathematik
edition	Rev. ed., [Nachdr.]
format	Book
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indexdate	2024-07-09T20:48:08Z
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isbn	0936428155
language	English
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publishDate	1994
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publisher	Polygonal Publ. House
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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

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