Topics in commutative ring theory:
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Princeton, NJ
Princeton Univ. Press
2007
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 232 S. |
| ISBN: | 9780691127484 0691127484 |
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Record in the Search Index
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| adam_text | Titel: Topics in commutative ring theory
Autor: Watkins, John J.
Jahr: 2007
Contents
Preface ix
1 Rings and Subrings 1
2 Ideals and Quotient Rings 11
3 Prime Ideals and Maximal Ideals 23
4 Zorn s Lemma and Maximal Ideals 35
5 Units and Nilpotent Elements 45
6 Localization 51
7 Rings of Continuous Functions 69
8 Homomorphisms and Isomorphisms 80
9 Unique Factorization 89
10 Euclidean Domains and Principal Ideal Domains 100
11 Polynomial Rings 110
12 Power Series Rings 119
13 Noetherian Rings 128
14 Dimension 137
15 Gröbner Bases 154
Solutions to Selected Problems 185
Suggestions for Further Reading 209
Index 213
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| any_adam_object | 1 |
| author | Watkins, John J. |
| author_facet | Watkins, John J. |
| author_role | aut |
| author_sort | Watkins, John J. |
| author_variant | j j w jj jjw |
| building | Verbundindex |
| bvnumber | BV025465573 |
| classification_rvk | SK 230 |
| ctrlnum | (OCoLC)605953663 (DE-599)BVBBV025465573 |
| dewey-full | 512.44 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.44 |
| dewey-search | 512.44 |
| dewey-sort | 3512.44 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:34:46Z |
| institution | BVB |
| isbn | 9780691127484 0691127484 |
| language | English |
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| physical | 232 S. |
| publishDate | 2007 |
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| spelling | Watkins, John J. Verfasser aut Topics in commutative ring theory John J. Watkins Princeton, NJ Princeton Univ. Press 2007 232 S. txt rdacontent n rdamedia nc rdacarrier Kommutativer Ring (DE-588)4164825-0 gnd rswk-swf Polynomring (DE-588)4175268-5 gnd rswk-swf Ideal (DE-588)4161197-4 gnd rswk-swf Kommutativer Ring (DE-588)4164825-0 s DE-604 Polynomring (DE-588)4175268-5 s Ideal (DE-588)4161197-4 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020081140&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Watkins, John J. Topics in commutative ring theory Kommutativer Ring (DE-588)4164825-0 gnd Polynomring (DE-588)4175268-5 gnd Ideal (DE-588)4161197-4 gnd |
| subject_GND | (DE-588)4164825-0 (DE-588)4175268-5 (DE-588)4161197-4 |
| title | Topics in commutative ring theory |
| title_auth | Topics in commutative ring theory |
| title_exact_search | Topics in commutative ring theory |
| title_full | Topics in commutative ring theory John J. Watkins |
| title_fullStr | Topics in commutative ring theory John J. Watkins |
| title_full_unstemmed | Topics in commutative ring theory John J. Watkins |
| title_short | Topics in commutative ring theory |
| title_sort | topics in commutative ring theory |
| topic | Kommutativer Ring (DE-588)4164825-0 gnd Polynomring (DE-588)4175268-5 gnd Ideal (DE-588)4161197-4 gnd |
| topic_facet | Kommutativer Ring Polynomring Ideal |
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