Faithfully quadratic rings:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
2015
|
| Series: | Memoirs of the American Mathematical Society
1128 |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 238, number 1128 (sixth of 6 numbers), November 2015." |
| Physical Description: | XI, 129 S. |
| ISBN: | 9781470414689 |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface vii
Chapter 1. Basic Goncepts 1
1. Preliminaries 1
2. Geometric and Horn֊ Geometric Theories 2
3. Forms over Sets 3
4. Proto-Special Groups and Special Groups 5
Chapter 2. Rings and Special Groups 9
1. Conventions, Notation and Fundamental Concepts 9
2. Rings and ProtoSpecial Groups 11
3. The K-theory of a Ring and of its Proto-Special Group 15
4. T- isometry 18
Chapter 3. The Notion of T-Faithfully Quadratic Ring. Some Basic
Consequences 27
1. T-Faithfully Quadratic Rings 27
2, Orders, Signatures and T-isometry 36
Chapter 4. Idempotents, Products and T-isometry 41
1. T-isometry under Orthogonal Decompositions and Products 41
2. The Real Spectrum. Summary of Basic Properties 46
Chapter 5. First-Order Axioms for Quadratic Faithfulness 53
Chapter 6. Rings with Many Units 61
1. Rings with Many Units are Horn-Geometrical 61
2. Rings with Many Units and Quadratic Faithfulness 63
3. Rings of Formal Power Series 66
Chapter 7. Transversality of Representation in parings with Bounded
Inversion 69
1. Rings with Bounded Inversion 69
2. Transversality of Value Representation 72
Chapter 8. Reduced / -Rings 75
1. Preliminaries 75
2. Units and Orthogonal Decompositions of an f-ring 77
3. Quadratic Faithfulness of / rings 83
4. Unit-Reflecting Preorders and Rings of Continuous Functions 94
5. Some Applications and Examples 97
¿it
IV
CONTENTS
Chapter 9. Strictly Representable Rings 101
Chapter 10. Quadratic Form Theory over Faithfully Quadratic Rings 111
Bibliography 121
Index of Symbols 125
Subject Index 127
|
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| author | Dickmann, Max 1940- Miraglia, F. |
| author_GND | (DE-588)172054737 (DE-588)1294250515 |
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| author_sort | Dickmann, Max 1940- |
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| building | Verbundindex |
| bvnumber | BV043208329 |
| ctrlnum | (OCoLC)932590309 (DE-599)BVBBV043208329 |
| dewey-full | 512/.48 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.48 |
| dewey-search | 512/.48 |
| dewey-sort | 3512 248 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV043208329 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:20:32Z |
| institution | BVB |
| isbn | 9781470414689 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028631494 |
| oclc_num | 932590309 |
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| physical | XI, 129 S. |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Dickmann, Max 1940- Verfasser (DE-588)172054737 aut Faithfully quadratic rings M. Dickmann, F. Miraglia Providence, RI American Math. Soc. 2015 XI, 129 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 1128 = Vol. 238,6 "Volume 238, number 1128 (sixth of 6 numbers), November 2015." Miraglia, F. Verfasser (DE-588)1294250515 aut Memoirs of the American Mathematical Society 1128 (DE-604)BV008000141 1128 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028631494&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dickmann, Max 1940- Miraglia, F. Faithfully quadratic rings Memoirs of the American Mathematical Society |
| title | Faithfully quadratic rings |
| title_auth | Faithfully quadratic rings |
| title_exact_search | Faithfully quadratic rings |
| title_full | Faithfully quadratic rings M. Dickmann, F. Miraglia |
| title_fullStr | Faithfully quadratic rings M. Dickmann, F. Miraglia |
| title_full_unstemmed | Faithfully quadratic rings M. Dickmann, F. Miraglia |
| title_short | Faithfully quadratic rings |
| title_sort | faithfully quadratic rings |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028631494&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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