The rings of dimension two:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Dekker
1976
|
| Schriftenreihe: | Lecture notes in pure and applied mathematics
22 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 101 S. |
| ISBN: | 0824764471 |
Internformat
MARC
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| 100 | 1 | |a Vasconcelos, Wolmer V. |d 1937- |e Verfasser |0 (DE-588)115627421 |4 aut | |
| 245 | 1 | 0 | |a The rings of dimension two |c Wolmer V. Vasconcelos |
| 264 | 1 | |a New York [u.a.] |b Dekker |c 1976 | |
| 300 | |a X, 101 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in pure and applied mathematics |v 22 | |
| 650 | 7 | |a Anneau dimension 2 |2 Jussieu | |
| 650 | 7 | |a Anneau |2 Jussieu | |
| 650 | 7 | |a Anneaux commutatifs |2 ram | |
| 650 | 7 | |a Dimension, Théorie de la (topologie) |2 ram | |
| 650 | 7 | |a Homologie |2 ram | |
| 650 | 7 | |a Idéal |2 Jussieu | |
| 650 | 4 | |a Commutative rings | |
| 650 | 4 | |a Dimension theory (Algebra) | |
| 650 | 4 | |a Homology theory | |
| 650 | 0 | 7 | |a Dimension 2 |0 (DE-588)4321721-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Ring |g Mathematik |0 (DE-588)4128084-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Ring |g Mathematik |0 (DE-588)4128084-2 |D s |
| 689 | 0 | 1 | |a Dimension 2 |0 (DE-588)4321721-7 |D s |
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| 689 | 1 | 0 | |a Ring |g Mathematik |0 (DE-588)4128084-2 |D s |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-001288380 | |
Datensatz im Suchindex
| _version_ | 1811034336292503552 |
|---|---|
| adam_text |
CONTENTS
Introduction v
Chapter 0 Preliminaries 1
1. Global dimensions 1
2. Noetherian rings 6
3. Dimension zero 7
Chapter 1 Dimension One 9
1. Tor dimension one 9
2. Global dimension one 10
3. Finitistic dimension one 13
4. The minimal spectrum 14
5. Generating ideals efficiently 16
Chapter 2 Local Rings (I) 19
1. Classification 19
Chapter 3 Conductors, Cartesian Squares, and Projectivity 25
1. Conductors and the descent of projectivity 25
2. Cartesian squares (I) 28
Chapter 4 Local Rings (II) 31
1. F rings 31
2. Cardinality conditions 32
3. Fiber products 35
4. Global dimension of F rings 36
Chapter 5 Change of Rings and Dimensions 41
1. Macaulay extensions 42
2. Finitely generated modules 46
3. Some equalities of dimensions 46
4. Divisibility 48
5. Local rings of Tor dimension two 54
6. Difficulties in higher dimensions 56
Chapter 6 Finitely Generated Ideals 59
1. Coherence 59
2. Burch's theorem revisited 61
3. The A theorem 63
4. Generating prime ideals efficiently 66
5. Noetherianization 67
ix
x CONTENTS
Chapter 7 Domains 71
1. xn Noetherian domains 71
2. Symmetric algebras 75
3. Sheaf representation 82
Chapter 8 Coherence of Polynomial Rings 85
1. A remark of Gruson's 85
2. Rings of global dimension two 86
3. The X dimension of a ring 89
4. Stability 93
References 97
Index 101 |
| any_adam_object | 1 |
| author | Vasconcelos, Wolmer V. 1937- |
| author_GND | (DE-588)115627421 |
| author_facet | Vasconcelos, Wolmer V. 1937- |
| author_role | aut |
| author_sort | Vasconcelos, Wolmer V. 1937- |
| author_variant | w v v wv wvv |
| building | Verbundindex |
| bvnumber | BV001975329 |
| callnumber-first | Q - Science |
| callnumber-label | QA251 |
| callnumber-raw | QA251.3 |
| callnumber-search | QA251.3 |
| callnumber-sort | QA 3251.3 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 990 SK 230 |
| ctrlnum | (OCoLC)2743101 (DE-599)BVBBV001975329 |
| 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 |
| format | Book |
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| id | DE-604.BV001975329 |
| illustrated | Not Illustrated |
| indexdate | 2024-09-24T00:15:32Z |
| institution | BVB |
| isbn | 0824764471 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001288380 |
| oclc_num | 2743101 |
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| physical | X, 101 S. |
| publishDate | 1976 |
| publishDateSearch | 1976 |
| publishDateSort | 1976 |
| publisher | Dekker |
| record_format | marc |
| series | Lecture notes in pure and applied mathematics |
| series2 | Lecture notes in pure and applied mathematics |
| spelling | Vasconcelos, Wolmer V. 1937- Verfasser (DE-588)115627421 aut The rings of dimension two Wolmer V. Vasconcelos New York [u.a.] Dekker 1976 X, 101 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in pure and applied mathematics 22 Anneau dimension 2 Jussieu Anneau Jussieu Anneaux commutatifs ram Dimension, Théorie de la (topologie) ram Homologie ram Idéal Jussieu Commutative rings Dimension theory (Algebra) Homology theory Dimension 2 (DE-588)4321721-7 gnd rswk-swf Ring Mathematik (DE-588)4128084-2 gnd rswk-swf Ring Mathematik (DE-588)4128084-2 s Dimension 2 (DE-588)4321721-7 s DE-604 Lecture notes in pure and applied mathematics 22 (DE-604)BV005871364 22 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001288380&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Vasconcelos, Wolmer V. 1937- The rings of dimension two Lecture notes in pure and applied mathematics Anneau dimension 2 Jussieu Anneau Jussieu Anneaux commutatifs ram Dimension, Théorie de la (topologie) ram Homologie ram Idéal Jussieu Commutative rings Dimension theory (Algebra) Homology theory Dimension 2 (DE-588)4321721-7 gnd Ring Mathematik (DE-588)4128084-2 gnd |
| subject_GND | (DE-588)4321721-7 (DE-588)4128084-2 |
| title | The rings of dimension two |
| title_auth | The rings of dimension two |
| title_exact_search | The rings of dimension two |
| title_full | The rings of dimension two Wolmer V. Vasconcelos |
| title_fullStr | The rings of dimension two Wolmer V. Vasconcelos |
| title_full_unstemmed | The rings of dimension two Wolmer V. Vasconcelos |
| title_short | The rings of dimension two |
| title_sort | the rings of dimension two |
| topic | Anneau dimension 2 Jussieu Anneau Jussieu Anneaux commutatifs ram Dimension, Théorie de la (topologie) ram Homologie ram Idéal Jussieu Commutative rings Dimension theory (Algebra) Homology theory Dimension 2 (DE-588)4321721-7 gnd Ring Mathematik (DE-588)4128084-2 gnd |
| topic_facet | Anneau dimension 2 Anneau Anneaux commutatifs Dimension, Théorie de la (topologie) Homologie Idéal Commutative rings Dimension theory (Algebra) Homology theory Dimension 2 Ring Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001288380&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005871364 |
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