Generic modules over artin algebras

Proceedings of the London Mathematical Society

Volumn 76, Issue 2, 1998, Pages 276-306

  Krause, Henning ^a  

^a BIELEFELD UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000120267     PISSN: 00246115     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024611598000094     Document Type: Article

References (29)

1. M. AUSLANDER, 'Representation theory of artin algebras II', Comm. Algebra 1 (1974) 269-310.
2. M. AUSLANDER, 'Functors and morphisms determined by objects', Representation theory of algebras (ed. R. Gordon), Proceedings of a conference in Philadelphia 1976 (Dekker, New York, 1978), pp. 1-244.
3. S. BRENNER, 'Decomposition properties of some small diagrams of modules', Convegno di Gruppi Abeliani, INDAM, Rome 1972, Symposia Mathematica 13 (Academic Press, London, 1974), pp. 127-141.
4. H. CARTAN and S. EILENBERG, Homological algebra (Princeton University Press. 1956).
5. W. CRAWLEY-BOEVEY, 'Tame algebras and generic modules', Proc. London Math. Soc. (3) 63 (1991) 241-264.
6. W. CRAWLEY-BOEVEY, 'Modules of finite length over their endomorphism ring', Representations of algebras and related topics (eds S. Brenner and H. Tachikawa), London Mathematical Society Lecture Note Series 168 (Cambridge University Press, 1992), pp. 127-184.
7. P. EKLOF and G. SABBAGH, 'Model-completions and modules', Ann. Math. Logic 2 (1971) 251-295.
8. P. GABRIEL, 'Des catégories abéliennes', Bull. Soc. Math. France 90 (1962) 323-448.
9. W. GEIGLE, 'The Krull-Gabriel dimension of the representation theory of a tame hereditary artin algebra and applications to the structure of exact sequences', Manuscripta Math. 54 (1985) 83-106.
10. I. HERZOG, 'A test for finite representation type', J. Pure Appl. Algebra 95 (1994) 151-182.
11. I. HERZOG, 'The Ziegler spectrum of a locally coherent Grothendieck category', Proc. London Math. Soc. (3) 74 (1997) 503-558.
12. M. HOSHINO, 'D Tr-invariant modules', Tsukuba J. Math. 7 (1983) 205-214.
13. C. U. JENSEN and H. LENZING, Model theoretic algebra (Gordon and Breach, New York, 1989).
14. H. KRAUSE, 'Dualizing rings and a characterization of finite representation type', C. R. Acad. Sci. Paris 332 (1996) 507-510.
15. H. KRAUSE, 'Constructing large modules over artin algebras', J. Algebra 187 (1997) 413-421.
16. H. KRAUSE, 'The spectrum of a locally coherent category', J. Pure Appl. Algebra 114 (1997) 259-271.
17. H. KRAUSE, 'An axiomatic description of a duality for modules', Adv. in Math. to appear.
18. H. KRAUSE, 'Functors on locally finitely presented categories', Colloq. Math, to appear.
19. H. KRAUSE, 'Exactly definable categories', J. Algebra to appear.
20. J. C. MCCONNELL and J. C. ROBSON, Noncommutative noetherian rings (Wiley, Chichester, 1987).
21. M. PREST, Model theory and modules, London Mathematical Society Lecture Note Series 130 (Cambridge University Press, 1988).
22. M. PREST, 'Representation embeddings and the Ziegler spectrum', J. Pure Appl. Algebra 113 (1996) 315-323.
23. C. M. RINGEL, 'Finite dimensional hereditary algebras of wild representation type', Math. Z. 161 (1978) 235-255.
24. C. M. RINGEL, 'Some algebraically compact modules I', Proceedings, Abelian Groups and Modules, Padua 1994, Mathematics and its Applications 343 (Kluwer, Dordrecht, 1995), pp. 419-439.
25. C. M. RINGEL, 'A construction of endofinite modules', Proceedings, Algebra and Model Theory, Essen 1994 and Dresden 1995 (eds M. Droste and R. Göbel, to appear).
26. M. SCHMIDMEIER, 'Auslander-Reiten Köcher für artinsche Ringe mit Polynomidentität', Dissertation, Universität München, 1996.
27. B. STENSTRØM, 'Coherent rings and FP-injective modules', J. London Math. Soc. (2) 2 (1970) 323-329.
28. M. ZIEGLER, 'Model theory of modules', Ann. Pure Appl. Logic 26 (1984) 149-213.
29. W. ZIMMERMANN, 'Existenz von Auslander-Reiten Folgen', Arch. Math. 40 (1983) 40-49.