Commutative Noetherian and Krull rings:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Chichester
Horwood u.a.
1989
|
| Edition: | English ed. 1. publ. |
| Series: | Ellis Horwood series in mathematics and its applications
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus d. Poln. übers. |
| Physical Description: | 209 S. |
| ISBN: | 0853129274 0470213914 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Table of Contents
Preface 7
Chapter I—PRELIMINARY CONCEPTS 11
1.1 Rings and Ideals 11
1.2 Algebraic Sets and the Prime Spectrum of a Ring 19
1.3 Modules 28
1.4 Localization of Rings and Modules 36
1.5 Graded Rings and Modules 47
Chapter H—NOETHERIAN RINGS AND MODULES 53
2.1 Basic Concepts and Properties . . . *. 54
2.2 The Basis Theorem 58
2.3 Primary Decomposition of an Ideal 61
2.4 Primary Decomposition of a Module 71
2.5 The Artin Rees Lemma 80
2.6 Completions of Rings and Modules 83
2.7 Artin Rings and Modules 96
Chapter HI—INTEGRAL EXTENSIONS AND DEDEKIND
DOMAINS 104
3.1 Integral Extensions 103
3.2 Normal Domains 114
3.3 Dedekind Domains 118
3.4 Ideal Class Group and Picard Group 126
3.5 Modules over Dedekind Domains 134
3.6 Valuations 138
Chapter IV—DIVISORS AND KRULL DOMAINS 153
4.1 Divisors and the Semigroup of Divisor Classes 154
4.2 Krull Domains 159
4.3 Krull Domains as Intersections of Discrete Valuation Rings 165
4.4 Divisors in Krull Domains 174
4.5 Induced Homomorphisms of Class Groups 181
4.6 A Representation of an Abelian Group as a Divisor Class Group 187
4.7 Normalization of Noetherian Domains 192
References 205
Index 207
|
| any_adam_object | 1 |
| author | Balcerzyk, Stanisław Józefiak, Tadeusz |
| author_facet | Balcerzyk, Stanisław Józefiak, Tadeusz |
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| author_sort | Balcerzyk, Stanisław |
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| 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 | English ed. 1. publ. |
| format | Book |
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| id | DE-604.BV002546078 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:46:36Z |
| institution | BVB |
| isbn | 0853129274 0470213914 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001638832 |
| oclc_num | 246766912 |
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| owner_facet | DE-12 DE-91G DE-BY-TUM DE-384 DE-739 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-11 |
| physical | 209 S. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Horwood u.a. |
| record_format | marc |
| series2 | Ellis Horwood series in mathematics and its applications |
| spelling | Balcerzyk, Stanisław Verfasser aut Pierścienie przemienne Commutative Noetherian and Krull rings Stanisław Balcerzyk ; Tadeusz Józefiak English ed. 1. publ. Chichester Horwood u.a. 1989 209 S. txt rdacontent n rdamedia nc rdacarrier Ellis Horwood series in mathematics and its applications Aus d. Poln. übers. Commutative rings Kommutativer Ring (DE-588)4164825-0 gnd rswk-swf Kommutativer Ring (DE-588)4164825-0 s DE-604 Józefiak, Tadeusz Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001638832&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Balcerzyk, Stanisław Józefiak, Tadeusz Commutative Noetherian and Krull rings Commutative rings Kommutativer Ring (DE-588)4164825-0 gnd |
| subject_GND | (DE-588)4164825-0 |
| title | Commutative Noetherian and Krull rings |
| title_alt | Pierścienie przemienne |
| title_auth | Commutative Noetherian and Krull rings |
| title_exact_search | Commutative Noetherian and Krull rings |
| title_full | Commutative Noetherian and Krull rings Stanisław Balcerzyk ; Tadeusz Józefiak |
| title_fullStr | Commutative Noetherian and Krull rings Stanisław Balcerzyk ; Tadeusz Józefiak |
| title_full_unstemmed | Commutative Noetherian and Krull rings Stanisław Balcerzyk ; Tadeusz Józefiak |
| title_short | Commutative Noetherian and Krull rings |
| title_sort | commutative noetherian and krull 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=001638832&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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