Bilinear forms and orderings on commutative rings:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Kingston, Ontario
Queen's Univ.
1985
|
| Series: | Queen's papers in pure and applied mathematics
71. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 175 S. |
Staff View
MARC
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| 264 | 1 | |a Kingston, Ontario |b Queen's Univ. |c 1985 | |
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| 490 | 1 | |a Queen's papers in pure and applied mathematics |v 71. | |
| 650 | 4 | |a Anneaux commutatifs | |
| 650 | 4 | |a Corps ordonnés | |
| 650 | 4 | |a Bilinear forms | |
| 650 | 4 | |a Commutative rings | |
| 650 | 4 | |a Ordered fields | |
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Record in the Search Index
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| adam_text | TABLE OF CONTENTS
Chapter 1: Introduction to bilinear forms
1. Finitely generated projective modules 1
2. Local structure of projective modules 4
3. Bilinear farms 9
4. Hyperbolic spaces and metabolic spaces 14
5. The Witt ring 17
Chapter 2: Bilinear forms over semi local rings
1. Semi—local rings 24
2. Di agonal i zation 27
3. Connecting orthogonal bases 34
4. Generators and relations for W.c(A) 38
5. Inductive description of isometry 40
h. Witt cancellation; value sets 45
7. Properties of Pfister forms 50
Chapter 3: Prime ideals and signatures on Witt rings
1. Elementary properties of complexes 56
2. Dresses local global lemma 59
3. The prime ideal theorem and other applications • • 66
4. Prime ideals and the nilradical of Wf(A) 69
5. Pfister s local global principle 75
6. The total signature 79
7. The reduced theory over semi local rings 84
Chapter 4: Introduction to the real spectrum
1. Orderings and preorderings 95
2. Maximal orderings 100
3. The real spectrum 104
4. relationship to real varieties 111
5. Abstract Stellensatze 119
6. Rings o f continuous sections 125
7. Stone—Weierstrass approximation 134
Chapter 5: Qrderinqs and signatures related
1. The map X ^ *¦ XA 141
2. Connected components of Xn 147
3. Behaviour o f bilinear forms under A *¦ A 153
Li
4. Trans fer maps 156
5. Behaviour o f bilinear forms under A v r 160
6. Bilinear forms over r 167
|
| any_adam_object | 1 |
| author | Marshall, Murray A. |
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| classification_rvk | SI 380 |
| ctrlnum | (OCoLC)13505656 (DE-599)BVBBV003652498 |
| dewey-full | 512/.5 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra 510 - Mathematics |
| dewey-raw | 512/.5 510 |
| dewey-search | 512/.5 510 |
| dewey-sort | 3512 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV003652498 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:03:21Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002326268 |
| oclc_num | 13505656 |
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| physical | 175 S. |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Queen's Univ. |
| record_format | marc |
| series | Queen's papers in pure and applied mathematics |
| series2 | Queen's papers in pure and applied mathematics |
| spelling | Marshall, Murray A. Verfasser aut Bilinear forms and orderings on commutative rings by Murray A. Marshall Kingston, Ontario Queen's Univ. 1985 175 S. txt rdacontent n rdamedia nc rdacarrier Queen's papers in pure and applied mathematics 71. Anneaux commutatifs Corps ordonnés Bilinear forms Commutative rings Ordered fields Ordnung Mathematik (DE-588)4043745-0 gnd rswk-swf Kommutativer Ring (DE-588)4164825-0 gnd rswk-swf Ordnungsrelation (DE-588)4172733-2 gnd rswk-swf Bilinearform (DE-588)4138018-6 gnd rswk-swf Kommutativer Ring (DE-588)4164825-0 s Bilinearform (DE-588)4138018-6 s Ordnungsrelation (DE-588)4172733-2 s DE-604 Ordnung Mathematik (DE-588)4043745-0 s Queen's papers in pure and applied mathematics 71. (DE-604)BV001889470 71. HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002326268&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Marshall, Murray A. Bilinear forms and orderings on commutative rings Queen's papers in pure and applied mathematics Anneaux commutatifs Corps ordonnés Bilinear forms Commutative rings Ordered fields Ordnung Mathematik (DE-588)4043745-0 gnd Kommutativer Ring (DE-588)4164825-0 gnd Ordnungsrelation (DE-588)4172733-2 gnd Bilinearform (DE-588)4138018-6 gnd |
| subject_GND | (DE-588)4043745-0 (DE-588)4164825-0 (DE-588)4172733-2 (DE-588)4138018-6 |
| title | Bilinear forms and orderings on commutative rings |
| title_auth | Bilinear forms and orderings on commutative rings |
| title_exact_search | Bilinear forms and orderings on commutative rings |
| title_full | Bilinear forms and orderings on commutative rings by Murray A. Marshall |
| title_fullStr | Bilinear forms and orderings on commutative rings by Murray A. Marshall |
| title_full_unstemmed | Bilinear forms and orderings on commutative rings by Murray A. Marshall |
| title_short | Bilinear forms and orderings on commutative rings |
| title_sort | bilinear forms and orderings on commutative rings |
| topic | Anneaux commutatifs Corps ordonnés Bilinear forms Commutative rings Ordered fields Ordnung Mathematik (DE-588)4043745-0 gnd Kommutativer Ring (DE-588)4164825-0 gnd Ordnungsrelation (DE-588)4172733-2 gnd Bilinearform (DE-588)4138018-6 gnd |
| topic_facet | Anneaux commutatifs Corps ordonnés Bilinear forms Commutative rings Ordered fields Ordnung Mathematik Kommutativer Ring Ordnungsrelation Bilinearform |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002326268&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001889470 |
| work_keys_str_mv | AT marshallmurraya bilinearformsandorderingsoncommutativerings |