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|b .A57 no. 828
|a QA172.4
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|a 510 s 511.3/3
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|a UAMI
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|a Berman, Joel,
|d 1943-
|1 https://id.oclc.org/worldcat/entity/E39PCjrQc73d6m6j33kTwKb9cK
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|a Generative complexity in algebra /
|c Joel Berman, Paweł M. Idziak.
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|a Providence, R.I. :
|b American Mathematical Society,
|c ©2005.
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|a 1 online resource (vii, 159 pages)
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|a text
|b txt
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|a Memoirs of the American Mathematical Society,
|x 1947-6221 ;
|v v. 828
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|a "Volume 175, number 828 (end of volume)."
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|a Includes bibliographical references (pages 157-159).
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|a Print version record.
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|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.
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|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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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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650 |
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|a Ordered algebraic structures.
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650 |
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|a Model theory.
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650 |
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|a Algebraic varieties
|x Classification theory.
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650 |
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|a Structures algébriques ordonnées.
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650 |
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|a Théorie des modèles.
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650 |
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|a Variétés algébriques
|x Classification.
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650 |
|
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|a Algebraic varieties
|x Classification theory
|2 fast
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650 |
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|a Model theory
|2 fast
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650 |
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|a Ordered algebraic structures
|2 fast
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|a Idziak, Paweł.
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758 |
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|i has work:
|a Generative complexity in algebra (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCGhQFfGjMX9dwdhGfmT3FC
|4 https://id.oclc.org/worldcat/ontology/hasWork
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776 |
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|i Print version:
|a Berman, Joel, 1943-
|t Generative complexity in algebra /
|x 0065-9266
|z 9780821837078
|
830 |
|
0 |
|a Memoirs of the American Mathematical Society ;
|v no. 828.
|x 0065-9266
|
856 |
4 |
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|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114257
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