Auslander-Reiten theory via Brown representability

K-Theory

Volumn 20, Issue 4, 2000, Pages 331-344

  Krause, Henning ^a  

^a BIELEFELD UNIVERSITY   (Germany)

Author keywords

Auslander Reiten theory; Auslander Reiten triangle; Brown representability; Pure injectivity

Indexed keywords

EID: 0000050888     PISSN: 09203036     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1026571214620     Document Type: Article

References (12)

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2. Auslander, M.: Functors determined by objects, in: R. Gordon, (ed.) Representation Theory of Algebras (Philadelphia 1976), Dekker, New York, 1978, 1-244.
3. Auslander, M. and Reiten, I.: Representation theory of Artin algebras III: Almost split sequences, Comm. Algebra 3 (1975), 239-294.
4. Auslander, M., Reiten, I. and Smalø, S. O.: Representation Theory of Artin Algebras, Cambridge Univ. Press 1995.
5. Beligiannis, A.: Purity and almost split morphisms in abstract homotopy categories, In preparation.
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7. Bondal, A. I. and Kapranov, M. M: Representable functors, Serre functors, and mutations, Izv. Akad. Nauk SSSR, Ser. Mat. 53 (1989), 1183-1205. English translation: Math. USSR, Izv. 35 (1990), 519-541.
8. Brown, E. H.: Abstract homotopy theory, Trans. Amer. Math. Soc. 119 (1965), 79-85.
9. Freyd, P.: Stable homotopy, in: Proc. Conf. Categorical Algebra, La Jolla 1966, pp. 121-172.
10. Happel, D.: Triangulated Categories in the Representation Theory of Finite Dimensional Algebras, London Math. Soc. Lecture Note Ser. 119, Cambridge Univ. Press, Cambridge, 1988.
11. Krause, H.: Smashing subcategories and the telescope conjecture - an algebraic approach, Invent. Math. 139 (2000), 99-133.
12. Neeman, A.: The Grothendieck duality theorem via Bousfield's techniques and Brown representability, J. Amer. Math. Soc. 9 (1996), 205-236.