Title Definable additive categories : purity and model theory / Mike Prest

Published Providence, R.I. : American Mathematical Society, 2011

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Description 1 online resource (v, 109 pages) : illustrations Series Memoirs of the American Mathematical Society, 0065-9266 ; number 987 Memoirs of the American Mathematical Society ; no. 987. Contents Machine generated contents note: ch. 1 Introduction -- ch. 2 Preadditive and additive categories -- ch. 3 Preadditive categories and their ind-completions -- ch. 4 The free abelian category of a preadditive category -- ch. 5 Purity -- ch. 6 Locally coherent categories -- ch. 7 Localisation -- ch. 8 Serre subcategories of the functor category -- ch. 9 Conjugate and dual categories -- ch. 10 Definable subcategories -- ch. 11 Exactly definable categories -- ch. 12 Recovering the definable structure -- ch. 13 Functors between definable categories -- ch. 14 Spectra of definable categories -- ch. 15 Definable functors and spectra -- ch. 16 Triangulated categories -- ch. 17 Some open questions -- ch. 18 Model theory in finitely accessible categories -- ch. 19 pp-Elimination of quantifiers -- ch. 20 Ultraproducts -- ch. 21 Pure-injectives and elementary equivalence -- ch. 22 Imaginaries and finitely presented functors -- ch. 23 Elementary duality -- ch. 24 Hulls of types and irreducible types -- ch. 25 Interpretation functors -- ch. 26 Stability -- ch. 27 Ranks Notes "Volume 210, number 987 (second of 4 numbers)." Bibliography Includes bibliographical references (pages 105-109) Notes Print version record Subject Abelian categories. Model theory. MATHEMATICS -- Algebra -- Intermediate. Abelian categories Model theory Form Electronic book ISBN 9781470406042 1470406047

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