Berman, Joel. <br/><br/>
Generative Complexity in Algebra. 

 - 1st ed. 
 - 1 online resource (176 pages) 
 - Memoirs of the American Mathematical Society ;  v.175 .
 - Memoirs of the American Mathematical Society .
<br/><br/>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. 
<br/><br/><label>ISBN: </label>9781470404291 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Ordered algebraic structures.<br/>Model theory.<br/>Algebraic varieties -- Classification theory.
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA172 -- .B47 2005eb 
<br/><br/><label>Dewey Class. No.: </label>510 s;511.3/3