Commutative rings
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| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Chicago [u.a.]
Univ. of Chicago Press
1974
|
| Ausgabe: | Rev. ed. |
| Schriftenreihe: | Chicago lectures in mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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| 245 | 1 | 0 | |a Commutative rings |c Irving Kaplansky |
| 250 | |a Rev. ed. | ||
| 264 | 1 | |a Chicago [u.a.] |b Univ. of Chicago Press |c 1974 | |
| 300 | |a VIII, 182 S. | ||
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| 490 | 0 | |a Chicago lectures in mathematics | |
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| 650 | 7 | |a Ringen (wiskunde) |2 gtt | |
| 650 | 4 | |a Commutative rings | |
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Datensatz im Suchindex
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| adam_text | Contents
Preface ix
Preface to the Revised Edition xi
Chapter 1 Prime Ideals and Integral Extensions 1
1 1 Prime Ideals 1
1 2 Integral Elements, I 8
1 3 G ideals, Hilbert 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 Regular Rings 84
3 1 R sequences and Macaulay Rings 84
3 2 The Principal Ideal Theorem 104
3 3 Regular 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
|
| any_adam_object | 1 |
| author | Kaplansky, Irving 1917-2006 |
| author_GND | (DE-588)119264358 |
| author_facet | Kaplansky, Irving 1917-2006 |
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| bvnumber | BV003713058 |
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| classification_rvk | SK 230 |
| ctrlnum | (OCoLC)1053536 (DE-599)BVBBV003713058 |
| dewey-full | 512/.4 |
| 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 | Rev. ed. |
| format | Book |
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| id | DE-604.BV003713058 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-03T17:28:01Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002363393 |
| oclc_num | 1053536 |
| open_access_boolean | |
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| physical | VIII, 182 S. |
| publishDate | 1974 |
| publishDateSearch | 1974 |
| publishDateSort | 1974 |
| publisher | Univ. of Chicago Press |
| record_format | marc |
| series2 | Chicago lectures in mathematics |
| spellingShingle | Kaplansky, Irving 1917-2006 Commutative rings Anneaux commutatifs Commutatieve ringen gtt Ringen (wiskunde) gtt 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_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 | Anneaux commutatifs Commutatieve ringen gtt Ringen (wiskunde) gtt Commutative rings Kommutativer Ring (DE-588)4164825-0 gnd |
| topic_facet | Anneaux commutatifs Commutatieve ringen Ringen (wiskunde) Commutative rings Kommutativer Ring |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002363393&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT kaplanskyirving commutativerings |