Functors on locally finitely presented additive categories

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1. [1] J. Adámek and J. Rosický, Locally Presentable Categories and Accessible Categories, London Math. Soc. Lecture Note Ser. 189, Cambridge Univ. Press, 1994. Zbl0795.18007
2. [2] M. Auslander and S. O. Smalο, Preprojective modules over artin algebras, J. Algebra 66 (1980), 61-122. Zbl0477.16013
3. [3] S. Breitsprecher, Lokal endlich präsentierbare Grothendieck-Kategorien, Mitt. Math. Sem. Giessen 85 (1970), 1-25. 
4. [4] W. Crawley-Boevey, Locally finitely presented additive categories, Comm. Algebra 22 (1994), 1644-1674. 
5. [5] P. Freyd, Representations in abelian categories, in: Proc. Conf. on Categorical Algebra, La Jolla, 1965, Springer, 1966, 95-120. 
6. [6] P. Gabriel, Des catégories abéliennes, Bull. Soc. Math. France 90 (1962), 323-448. Zbl0201.35602
7. [7] P. Gabriel und F. Ulmer, Lokal präsentierbare Kategorien, Lecture Notes in Math. 221, Springer, 1971. 
8. [8] A. Grothendieck et J. L. Verdier, Prefaisceaux, in: Théorie des Topos et Cohomologie Etale des Schémas, Lecture Notes in Math. 269, Springer, 1972, 1-217. 
9. [9] L. Gruson, Simple coherent functors, in: Representations of Algebras, Lecture Notes in Math. 488, Springer, 1975, 156-159. 
10. [10] L. Gruson et C. U. Jensen, Dimensions cohomologiques reliées aux foncteurs lim^(i), in: Séminaire d'Algèbre, P. Dubreil et M.-P. Malliavin (eds.), Lecture Notes in Math. 867, Springer, 1981, 234-249. Zbl0505.18005
11. [11] I. Herzog, The endomorphism ring of a localized coherent functor, preprint, 1996. 
12. [12] D. M. Kan, Adjoint functors, Trans. Amer. Math. Soc. 87 (1958), 294-329. Zbl0090.38906
13. [13] H. Krause, Generic modules over artin algebras, Proc. London Math. Soc., to appear. Zbl0908.16016
14. [14] H. Krause, Stable equivalence preserves the representation type, Comment. Math. Helv., to appear. Zbl0901.16008
15. [15] M. Makkai and R. Paré, Accessible Categories: the Foundations of Categorical Model Theory, Contemp. Math. 104, Amer. Math. Soc., 1989. Zbl0703.03042
16. [16] B. Mitchell, Theory of Categories, Academic Press, 1965. 
17. [17] B. Mitchell, Rings with several objects, Adv. Math. 8 (1972), 1-161. Zbl0232.18009
18. [18] J.-E. Roos, Locally noetherian categories, in: Category Theory, Homology Theory and their Applications II, Lecture Notes in Math. 92, Springer, 1969, 197-277. 
19. [19] D. Simson, On pure semi-simple Grothendieck categories I, Fund. Math. 100 (1978), 211-222. Zbl0392.18012