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Generative complexity in algebra /

Introduction Background material Part 1. Introducing Generative Complexity: Definitions and examples Semilattices and lattices Varieties with a large number of models Upper bounds Categorical invariants Part 2. Varieties with Few Models: Types 4 or 5 need not apply Semisimple may apply Permutable ma...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Berman, Joel, 1943-
Otros Autores: Idziak, Paweł
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, ©2005.
Colección:Memoirs of the American Mathematical Society ; no. 828.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Generative complexity in algebra /  |c Joel Berman, Paweł M. Idziak. 
260 |a Providence, R.I. :  |b American Mathematical Society,  |c ©2005. 
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520 8 |a Introduction Background material Part 1. Introducing Generative Complexity: Definitions and examples Semilattices and lattices Varieties with a large number of models Upper bounds Categorical invariants Part 2. Varieties with Few Models: Types 4 or 5 need not apply Semisimple may apply Permutable may also apply Forcing modular behavior Restricting solvable behavior Varieties with very few models Restricting nilpotent behavior Decomposing finite algebras Restricting affine behavior A characterization theorem Part 3. Conclusions: Application to groups and rings Open problems Tables Bibliography. 
505 0 0 |t 1. Introduction  |t 2. Background material  |t Part 1. Introducing generative complexity  |t 3. Definitions and examples  |t 4. Semilattices and lattices  |t 5. Varieties with a large number of models  |t 6. Upper bounds  |t 7. Categorical invariants  |t Part 2. Varieties with few models  |t 8. Types 4 or 5 need not apply  |t 9. Semisimple may apply  |t 10. Permutable may also apply  |t 11. Forcing modular behavior  |t 12. Restricting solvable behavior  |t 13. Varieties with very few models  |t 14. Restricting nilpotent behavior  |t 15. Decomposing finite algebras  |t 16. Restricting affine behavior  |t 17. A characterization theorem  |t Part 3. Conclusions  |t 18. Application to groups and rings  |t 19. Open problems  |t 20. Tables. 
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650 0 |a Ordered algebraic structures. 
650 0 |a Model theory. 
650 0 |a Algebraic varieties  |x Classification theory. 
650 6 |a Structures algébriques ordonnées. 
650 6 |a Théorie des modèles. 
650 6 |a Variétés algébriques  |x Classification. 
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650 7 |a Model theory  |2 fast 
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