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Generative Complexity in Algebra.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 2005Copyright date: ©2005Edition: 1st edDescription: 1 online resource (176 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470404291
Subject(s): Genre/Form: Additional physical formats: Print version:: Generative Complexity in AlgebraDDC classification:
  • 510 s;511.3/3
LOC classification:
  • QA172 -- .B47 2005eb
Online resources:
Contents:
Intro -- 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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Intro -- 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.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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