02923nam 2200565 450 991082906980332120170822144430.01-4704-0604-7(CKB)3360000000465171(EBL)3114274(SSID)ssj0000888870(PQKBManifestationID)11455669(PQKBTitleCode)TC0000888870(PQKBWorkID)10881857(PQKB)11406682(MiAaPQ)EBC3114274(RPAM)16534829(PPN)19541876X(EXLCZ)99336000000046517120150417h20102010 uy 0engur|n|---|||||txtccrDefinable additive categories purity and model theory /Mike PrestProvidence, Rhode Island :American Mathematical Society,2010.©20101 online resource (109 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 987"Volume 210, number 987 (second of 4 numbers)."0-8218-4767-8 Includes bibliographical references.""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. Preadditive and additive categories""; ""Chapter 3. Preadditive categories and their ind-completions""; ""Chapter 4. The free abelian category of a preadditive category""; ""Chapter 5. Purity""; ""Chapter 6. Locally coherent categories""; ""Chapter 7. Localisation""; ""Chapter 8. Serre subcategories of the functor category""; ""Chapter 9. Conjugate and dual categories""; ""Chapter 10. Definable subcategories""; ""Chapter 11. Exactly definable categories""; ""Chapter 12. Recovering the definable structure""""Chapter 13. Functors between definable categories""""Chapter 14. Spectra of definable categories""; ""Chapter 15. Definable functors and spectra""; ""Chapter 16. Triangulated categories""; ""Chapter 17. Some open questions""; ""Chapter 18. Model theory in finitely accessible categories""; ""Chapter 19. pp-Elimination of quantifiers""; ""Chapter 20. Ultraproducts""; ""Chapter 21. Pure-injectives and elementary equivalence""; ""Chapter 22. Imaginaries and finitely presented functors""; ""Chapter 23. Elementary duality""; ""Chapter 24. Hulls of types and irreducible types""""Chapter 25. Interpretation functors""""Chapter 26. Stability""; ""Chapter 27. Ranks""; ""Bibliography""Memoirs of the American Mathematical Society ;Number 987.Abelian categoriesModel theoryAbelian categories.Model theory.512.62Prest Mike58276MiAaPQMiAaPQMiAaPQBOOK9910829069803321Definable additive categories4113389UNINA