03094nam 2200613 450 991047986480332120170816143319.01-4704-0429-X(CKB)3360000000465012(EBL)3114257(SSID)ssj0000973578(PQKBManifestationID)11630722(PQKBTitleCode)TC0000973578(PQKBWorkID)10958552(PQKB)11675555(MiAaPQ)EBC3114257(PPN)19541716X(EXLCZ)99336000000046501220050110h20052005 uy| 0engur|n|---|||||txtccrGenerative complexity in algebra /Joel Berman, Paweł M. IdziakProvidence, Rhode Island :American Mathematical Society,[2005]©20051 online resource (176 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 828"Volume 175, number 828 (end of volume)."0-8218-3707-9 Includes bibliographical references (pages 157-159).""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""Memoirs of the American Mathematical Society ;no. 828.Ordered algebraic structuresModel theoryAlgebraic varietiesClassification theoryElectronic books.Ordered algebraic structures.Model theory.Algebraic varietiesClassification theory.510 s511.3/3Berman Joel1943-988727Idziak PawełMiAaPQMiAaPQMiAaPQBOOK9910479864803321Generative complexity in algebra2260777UNINA