Generative complexity in algebra:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I.
American Mathematical Society
2005
|
| Series: | Memoirs of the American Mathematical Society
828 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 175, number 828 (end of volume)." Includes bibliographical references |
| Physical Description: | VII, 159 S. graph. Darst. |
| ISBN: | 0821837079 |
Staff View
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| 650 | 7 | |a Lógica matemática |2 larpcal | |
| 650 | 4 | |a Ordered algebraic structures | |
| 650 | 4 | |a Model theory | |
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Record in the Search Index
| _version_ | 1804133323279171584 |
|---|---|
| adam_text | Contents
Chapter 1. Introduction 1
Chapter 2. Background Material 7
Part 1. Introducing Generative Complexity 21
Chapter 3. Definitions and Examples 23
Chapter 4. Semilattices and Lattices 29
Chapter 5. Varieties with a Large Number of Models 33
Chapter 6. Upper Bounds 43
Chapter 7. Categorical Invariants 53
Part 2. Varieties with Few Models 57
Chapter 8. Types 4 or 5 Need Not Apply 59
Chapter 9. Semisimple May Apply 65
Chapter 10. Permutable May also Apply 69
Chapter 11. Forcing Modular Behavior 75
Chapter 12. Restricting Solvable Behavior 87
Chapter 13. Varieties with Very Few Models 97
Chapter 14. Restricting Nilpotent Behavior 107
14.1. Nilpotent Congruences in non Nilpotent Algebras 107
14.2. Nilpotent Algebras 111
Chapter 15. Decomposing Finite Algebras 119
Chapter 16. Restricting Affine Behavior 123
16.1. Expanded Modules 123
16.2. Forcing Finite Representation Type. 132
Chapter 17. A Characterization Theorem 135
17.1. Locally Finite Varieties with Few Models 135
17.2. Finitely Generated Varieties with Few Models 136
V
vi CONTENTS
Part 3. Conclusions 139
Chapter 18. Application to Groups and Rings 141
Chapter 19. Open Problems 147
Chapter 20. Tables 153
Bibliography 157
|
| any_adam_object | 1 |
| author | Berman, Joel 1943- |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 511 - General principles of mathematics |
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| dewey-tens | 510 - Mathematics |
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| id | DE-604.BV019820713 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T20:06:53Z |
| institution | BVB |
| isbn | 0821837079 |
| language | English |
| lccn | 2005041979 |
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| physical | VII, 159 S. graph. Darst. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Berman, Joel 1943- Verfasser (DE-588)17376441X aut Generative complexity in algebra Joel Berman ; Paweł M. Idziak Providence, R.I. American Mathematical Society 2005 VII, 159 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 828 "Volume 175, number 828 (end of volume)." Includes bibliographical references Algebraïsche structuren gtt Algebraïsche variëteiten gtt Combinatória larpcal Estruturas algébricas ordenadas (álgebra) larpcal Lógica matemática larpcal Ordered algebraic structures Model theory Algebraic varieties Classification theory Modelltheorie (DE-588)4114617-7 gnd rswk-swf Geordnete algebraische Struktur (DE-588)4156743-2 gnd rswk-swf Algebraische Varietät (DE-588)4581715-7 gnd rswk-swf Klassifikation (DE-588)4030958-7 gnd rswk-swf Geordnete algebraische Struktur (DE-588)4156743-2 s Modelltheorie (DE-588)4114617-7 s Algebraische Varietät (DE-588)4581715-7 s Klassifikation (DE-588)4030958-7 s b DE-604 Idziak, Paweł Sonstige (DE-588)172606349 oth Memoirs of the American Mathematical Society 828 (DE-604)BV008000141 828 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013145986&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Berman, Joel 1943- Generative complexity in algebra Memoirs of the American Mathematical Society Algebraïsche structuren gtt Algebraïsche variëteiten gtt Combinatória larpcal Estruturas algébricas ordenadas (álgebra) larpcal Lógica matemática larpcal Ordered algebraic structures Model theory Algebraic varieties Classification theory Modelltheorie (DE-588)4114617-7 gnd Geordnete algebraische Struktur (DE-588)4156743-2 gnd Algebraische Varietät (DE-588)4581715-7 gnd Klassifikation (DE-588)4030958-7 gnd |
| subject_GND | (DE-588)4114617-7 (DE-588)4156743-2 (DE-588)4581715-7 (DE-588)4030958-7 |
| title | Generative complexity in algebra |
| title_auth | Generative complexity in algebra |
| title_exact_search | Generative complexity in algebra |
| title_full | Generative complexity in algebra Joel Berman ; Paweł M. Idziak |
| title_fullStr | Generative complexity in algebra Joel Berman ; Paweł M. Idziak |
| title_full_unstemmed | Generative complexity in algebra Joel Berman ; Paweł M. Idziak |
| title_short | Generative complexity in algebra |
| title_sort | generative complexity in algebra |
| topic | Algebraïsche structuren gtt Algebraïsche variëteiten gtt Combinatória larpcal Estruturas algébricas ordenadas (álgebra) larpcal Lógica matemática larpcal Ordered algebraic structures Model theory Algebraic varieties Classification theory Modelltheorie (DE-588)4114617-7 gnd Geordnete algebraische Struktur (DE-588)4156743-2 gnd Algebraische Varietät (DE-588)4581715-7 gnd Klassifikation (DE-588)4030958-7 gnd |
| topic_facet | Algebraïsche structuren Algebraïsche variëteiten Combinatória Estruturas algébricas ordenadas (álgebra) Lógica matemática Ordered algebraic structures Model theory Algebraic varieties Classification theory Modelltheorie Geordnete algebraische Struktur Algebraische Varietät Klassifikation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013145986&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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