LEADER 03094nam 2200613 450 001 9910479864803321 005 20170816143319.0 010 $a1-4704-0429-X 035 $a(CKB)3360000000465012 035 $a(EBL)3114257 035 $a(SSID)ssj0000973578 035 $a(PQKBManifestationID)11630722 035 $a(PQKBTitleCode)TC0000973578 035 $a(PQKBWorkID)10958552 035 $a(PQKB)11675555 035 $a(MiAaPQ)EBC3114257 035 $a(PPN)19541716X 035 $a(EXLCZ)993360000000465012 100 $a20050110h20052005 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aGenerative complexity in algebra /$fJoel Berman, Pawe? M. Idziak 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2005] 210 4$dİ2005 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. 676 $a510 s 676 $a511.3/3 700 $aBerman$b Joel$f1943-$0988727 702 $aIdziak$b Pawe? 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910479864803321 996 $aGenerative complexity in algebra$92260777 997 $aUNINA