Verfügbarkeit: Commutative coherent rings | Technische Universität München

Commutative coherent rings:

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Bibliographische Detailangaben
Beteilige Person:	Glaz, Sarah (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Berlin, [u.a.] Springer [1989]
Schriftenreihe:	Lecture notes in mathematics 1371
Schlagwörter:	Kommutativer Ring Ringtheorie Kohärenz Kommutativer kohärenter Ring
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001220239&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Literaturverz. S. 328 - 335
Umfang:	XI, 347 Seiten
ISBN:	3540511156 0387511156

Internformat

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Datensatz im Suchindex

DE-BY-TUM_call_number	0102 MAT 001z 2001 B 999-1371
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adam_text	Table of Contents INTRODUCTION vii CHAPTER 1 PRELIMINARIES 1. Protective and Injective Modules 1 2. Flatness 7 3. Homological Dimensions 17 4. Rings of Small Global and Weak Dimensions Classical Results 23 CHAPTER 2 INTRODUCTION TO COHERENCE 1. Finitely Presented Modules 31 2. Elementary Properties of Coherent Modules 41 3. Definitions and Examples of Coherent Rings 44 4. Ideals, Quotients and Localizations 50 5. Homological Dimensions over Coherent Rings 55 6. Two Homological Characterizations of Coherent Rings . 63 CHAPTER 3 FUNDAMENTAL CONCEPTS 1. Change of Rings and Homological Dimensions 69 2. Zariski Topology, Projectivity and Rank 73 3. Associated Primes 85 4. Fitting Invariants and Euler Characteristic 96 5. Koszul Complexes 101 CHAPTER 4 RING EXTENSIONS 1. Special Ring Extensions 108 2. Min(R) and the Total Ring of Quotients of R 112 3. The Maximal Flat Epimorphic Extension of R 130 4. Trivial Ring Extensions and the X Dimension 139 CHAPTER 5 RING CONSTRUCTIONS AND OVERRINGS 1. Cartesian Squares 149 2. D + M Constructions 159 3. Overrings and Integral Closure 170 4. Coherent Pairs 182 CHAPTER 6 PARTICULAR COHERENT RINGS 1. Uniform Coherent Rings 190 2. Regular and Super Regular Coherent Rings 200 3. Rings of Global and Weak Dimension Two 212 4. Rings of Small Ng Dimension 221 CHAPTER 7 POLYNOMIAL RINGS 1. Non Noetherian Grade 228 2. Reduction Theorems 248 3. Stably Coherent Rings 255 4. Uppers of Zero and the Relation to the Integral Closure 264 CHAPTER 8 COHERENT ALGEBRAS 1. Power Series Rings 280 2. Group Rings 293 3. Symmetric Algebras 306 4. Rings of Continuous Functions 321 REFERENCES 328 INDEX OF SYMBOLS 336 GENERAL INDEX 338
any_adam_object	1
author	Glaz, Sarah
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id	DE-604.BV001834410
illustrated	Not Illustrated
indexdate	2024-12-20T07:42:27Z
institution	BVB
isbn	3540511156 0387511156
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-001220239
oclc_num	230981484
open_access_boolean
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physical	XI, 347 Seiten
publishDate	1989
publishDateSearch	1989
publishDateSort	1989
publisher	Springer
record_format	marc
series	Lecture notes in mathematics
series2	Lecture notes in mathematics
spellingShingle	Glaz, Sarah Commutative coherent rings Lecture notes in mathematics Kommutativer Ring (DE-588)4164825-0 gnd Ringtheorie (DE-588)4126571-3 gnd Kohärenz (DE-588)4139923-7 gnd Kommutativer kohärenter Ring (DE-588)4212703-8 gnd
subject_GND	(DE-588)4164825-0 (DE-588)4126571-3 (DE-588)4139923-7 (DE-588)4212703-8
title	Commutative coherent rings
title_auth	Commutative coherent rings
title_exact_search	Commutative coherent rings
title_full	Commutative coherent rings Sarah Glaz
title_fullStr	Commutative coherent rings Sarah Glaz
title_full_unstemmed	Commutative coherent rings Sarah Glaz
title_short	Commutative coherent rings
title_sort	commutative coherent rings
topic	Kommutativer Ring (DE-588)4164825-0 gnd Ringtheorie (DE-588)4126571-3 gnd Kohärenz (DE-588)4139923-7 gnd Kommutativer kohärenter Ring (DE-588)4212703-8 gnd
topic_facet	Kommutativer Ring Ringtheorie Kohärenz Kommutativer kohärenter Ring
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001220239&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000676446
work_keys_str_mv	AT glazsarah commutativecoherentrings

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