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Record Nr. |
UNINA9910788749503321 |
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Autore |
Berman Joel <1943-> |
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Titolo |
Generative complexity in algebra / / Joel Berman, Paweł M. Idziak |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2005] |
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©2005 |
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ISBN |
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Descrizione fisica |
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1 online resource (176 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 828 |
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Disciplina |
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Soggetti |
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Ordered algebraic structures |
Model theory |
Algebraic varieties - Classification theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 175, number 828 (end of volume)." |
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Nota di bibliografia |
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Includes bibliographical references (pages 157-159). |
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Nota di contenuto |
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""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Background Material""; ""Part 1. Introducing Generative Complexity""; ""Chapter 3. Definitions and Examples""; ""Chapter 4. Semilattices and Lattices""; ""Chapter 5. Varieties with a Large Number of Models""; ""Chapter 6. Upper Bounds""; ""Chapter 7. Categorical Invariants""; ""Part 2. Varieties with Few Models""; ""Chapter 8. Types 4 or 5 Need Not Apply""; ""Chapter 9. Semisimple May Apply""; ""Chapter 10. Permutable May also Apply""; ""Chapter 11. Forcing Modular Behavior""; ""Chapter 12. Restricting Solvable Behavior"" |
""Chapter 13. Varieties with Very Few Models""""Chapter 14. Restricting Nilpotent Behavior""; ""14.1. Nilpotent Congruences in non Nilpotent Algebras""; ""14.2. Nilpotent Algebras""; ""Chapter 15. Decomposing Finite Algebras""; ""Chapter 16. Restricting Afflne Behavior""; ""16.1. Expanded Modules""; ""16.2. Forcing Finite Representation Type""; ""Chapter 17. A Characterization Theorem""; ""17.1. Locally Finite Varieties with Few Models""; ""17.2. Finitely Generated Varieties with Few Models""; ""Part 3. Conclusions""; ""Chapter 18. Application to Groups and Rings"" |
""Chapter 19. Open Problems""""Chapter 20. Tables""; ""Bibliography"" |
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