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200 10$aGenerative complexity in algebra /$fJoel Berman, Pawe? M. Idziak
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2005]
210  4$d©2005
215   $a1 online resource (176 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 828
300   $a"Volume 175, number 828 (end of volume)."
311   $a0-8218-3707-9 
320   $aIncludes bibliographical references (pages 157-159).
327   $a""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""
327   $a""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""
327   $a""Chapter 19. Open Problems""""Chapter 20. Tables""; ""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vno. 828.
606   $aOrdered algebraic structures
606   $aModel theory
606   $aAlgebraic varieties$xClassification theory
608   $aElectronic books.
615  0$aOrdered algebraic structures.
615  0$aModel theory.
615  0$aAlgebraic varieties$xClassification theory.
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