Examples of commutative rings:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Passaic, NJ
Polygonal Publ. House
1981
|
| Series: | Examples of mathematical structures
2 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 167 S. |
| ISBN: | 0936428058 |
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MARC
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Record in the Search Index
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| adam_text | Preface v
Notational Conventions vii
Part I Definitions and Exposition 1
Chapter 1 Preliminaries 2
A. Noetherian Rings 2
B. Domains 5
C. Quasi local Rings 7
Chapter 2 Domains 12
A. Valuation Domains 12
B. The Group of Divisibility 15
C. The Divisor Class Group 16
D. Miscellaneous Properties 18
Chapter 3 Ring Extensions 23
A. Definitions 23
B. Localization 24
C. Polynomials 25
D. Integral and almost Integral Extensions 27
E. Power Series 31
F. Completions 32
G. Miscellaneous Constructions 34
Chapter 4 Homolgical Dimension 37
A. Various Types of Modules 37
B. Projective Dimension 40
C. Injective Dimension 41
Chapter 5 Rings without 1 43
A. What is a Ring without 1? 43
B. Disadvantages of a Ring without 1 44
Chapter 6 Miscellaneous Topics 46
A. G domains 46
B. Hilbert Rings 47
C. von Neumann Regular Rings 48
Part II The Examples 49
Bibliography 150
Further References 154
Index of Notations 162
Index of Definitions 164
|
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| author | Hutchins, Harry C. |
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| dewey-ones | 512 - Algebra |
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| discipline | Mathematik |
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| id | DE-604.BV002285325 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:43:23Z |
| institution | BVB |
| isbn | 0936428058 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001501964 |
| oclc_num | 7733224 |
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| physical | VI, 167 S. |
| publishDate | 1981 |
| publishDateSearch | 1981 |
| publishDateSort | 1981 |
| publisher | Polygonal Publ. House |
| record_format | marc |
| series | Examples of mathematical structures |
| series2 | Examples of mathematical structures |
| spelling | Hutchins, Harry C. Verfasser aut Examples of commutative rings Harry C. Hutchins Passaic, NJ Polygonal Publ. House 1981 VI, 167 S. txt rdacontent n rdamedia nc rdacarrier Examples of mathematical structures 2 Anneaux commutatifs Commutative rings Kommutativer Ring (DE-588)4164825-0 gnd rswk-swf (DE-588)4144384-6 Beispielsammlung gnd-content Kommutativer Ring (DE-588)4164825-0 s DE-604 Examples of mathematical structures 2 (DE-604)BV001893782 2 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001501964&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hutchins, Harry C. Examples of commutative rings Examples of mathematical structures Anneaux commutatifs Commutative rings Kommutativer Ring (DE-588)4164825-0 gnd |
| subject_GND | (DE-588)4164825-0 (DE-588)4144384-6 |
| title | Examples of commutative rings |
| title_auth | Examples of commutative rings |
| title_exact_search | Examples of commutative rings |
| title_full | Examples of commutative rings Harry C. Hutchins |
| title_fullStr | Examples of commutative rings Harry C. Hutchins |
| title_full_unstemmed | Examples of commutative rings Harry C. Hutchins |
| title_short | Examples of commutative rings |
| title_sort | examples of commutative rings |
| topic | Anneaux commutatifs Commutative rings Kommutativer Ring (DE-588)4164825-0 gnd |
| topic_facet | Anneaux commutatifs Commutative rings Kommutativer Ring Beispielsammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001501964&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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