Mutations of alternative algebras:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht u.a.
Kluwer
1994
|
| Series: | Mathematics and its applications
278 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 226 S. |
| ISBN: | 0792327357 |
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MARC
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Record in the Search Index
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| adam_text | TABLE OF CONTENTS
PREFACE ix
CHAPTER I
NONASSOCIATIVE ALGEBRAS 1
1. Definitions and basic results 2
2. Simple and central simple algebras 9
3. Alternative algebras 13
4. Malcev admissible algebras 21
5. Jordan admissible algebras 40
CHAPTER II
MUTATIONS OF ASSOCIATIVE ALGEBRAS 51
1. Introduction 52
2. Identities in mutation algebras 58
3. Simple and prime mutation algebras 66
4. Mutations of simple associative algebras 76
5. Radicals of mutation algebras 85
viii TABLE OF CONTENTS
CHAPTER III
MUTATIONS OF ALTERNATIVE ALGEBRAS 92
1. Introduction 93
2. Basic results 96
3. Identities 103
4. Mutations of Cayley Dickson algebras 109
5. Simple and prime mutations of alternative algebras 125
6. Mutations of artinian alternative algebras 130
CHAPTER IV
AUTOMORPHISMS AND DERIVATIONS 136
1. Introduction 137
2. Jordan homomorphisms and derivations 142
3. Automorphisms of mutations of associative algebras 147
4. Derivations of mutations of associative algebras 159
5. Composition algebras: The associative case 163
6. Composition algebras: The octonion case 173
CHAPTER V
THE MUTATION VARIETY AND STRICT REPRESENTATIONS 182
1. Basic concepts 183
2. Identities for the mutation variety 187
3. Additional properties of the mutation variety 198
4. Strict representations of mutation algebras 201
REFERENCES 211
SYMBOL INDEX 219
SUBJECT INDEX 223
|
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| author | Elduque, Alberto Myung, Hyo C. |
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| id | DE-604.BV009558805 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:37:07Z |
| institution | BVB |
| isbn | 0792327357 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006316058 |
| oclc_num | 29751756 |
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| owner | DE-12 DE-739 DE-19 DE-BY-UBM DE-11 |
| owner_facet | DE-12 DE-739 DE-19 DE-BY-UBM DE-11 |
| physical | XIII, 226 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Kluwer |
| record_format | marc |
| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spelling | Elduque, Alberto Verfasser aut Mutations of alternative algebras by Alberto Elduque and Hyo Chul Myung Dordrecht u.a. Kluwer 1994 XIII, 226 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 278 Algèbres alternatives ram Mutations (Algèbre) ram Alternative algebras Mutations (Algebra) Nichtassoziative Algebra (DE-588)4297760-5 gnd rswk-swf Nichtassoziative Algebra (DE-588)4297760-5 s DE-604 Myung, Hyo C. Verfasser aut Mathematics and its applications 278 (DE-604)BV008163334 278 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006316058&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Elduque, Alberto Myung, Hyo C. Mutations of alternative algebras Mathematics and its applications Algèbres alternatives ram Mutations (Algèbre) ram Alternative algebras Mutations (Algebra) Nichtassoziative Algebra (DE-588)4297760-5 gnd |
| subject_GND | (DE-588)4297760-5 |
| title | Mutations of alternative algebras |
| title_auth | Mutations of alternative algebras |
| title_exact_search | Mutations of alternative algebras |
| title_full | Mutations of alternative algebras by Alberto Elduque and Hyo Chul Myung |
| title_fullStr | Mutations of alternative algebras by Alberto Elduque and Hyo Chul Myung |
| title_full_unstemmed | Mutations of alternative algebras by Alberto Elduque and Hyo Chul Myung |
| title_short | Mutations of alternative algebras |
| title_sort | mutations of alternative algebras |
| topic | Algèbres alternatives ram Mutations (Algèbre) ram Alternative algebras Mutations (Algebra) Nichtassoziative Algebra (DE-588)4297760-5 gnd |
| topic_facet | Algèbres alternatives Mutations (Algèbre) Alternative algebras Mutations (Algebra) Nichtassoziative Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006316058&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008163334 |
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