Infinitely generated tilting modules of finite projective dimension

Forum Mathematicum

Volumn 13, Issue 2, 2001, Pages 239-250

  Angeleri Hügel, Lidia ^a   Coelho, Flávio Ulhoa ^b  

^a UNIVERSITY OF MUNICH   (Germany)

^b UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040488746     PISSN: 09337741     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (18)

1. Angeleri Hügel, L., Tonolo, A., Trlifaj, J.: Tilting preenvelopes and cotilting precovers. Algebras and Representation Theory, to appear
2. Auslander, M., Buchweitz, R.: The homological theory of maximal Cohen-Macaulay approximations. Memoires of Soc. Math. de France (Suppl.), Nouvelle Serie 38 (1989), 5-37
3. Auslander, M., Reiten, I.: Applications of contravariantly finite subcategories. Adv. Math. 86 (1991), 111-152
4. Auslander, M., Smalø, S. O.: Preprojective modules over artin algebras. J. Algebra 66 (1980), 61-122
5. Brenner, S., Butler, M.: Generalizations of the Bernstein-Gelfand-Ponomarev reflections functors. Proc. of ICRA II Springer Lecture Notes in Mathematics 832 (1980), 103-169
6. Coelho, F. U., Happel, D., Unger, L.: Complements to partial tilting modules. J. Algebra, 170 (1994), 184-205
7. Colby, R. R., Fuller, K. R.: Tilting, cotilting, and serially tilted rings. Comm. Algebra 18 (1990), 1585-1615
8. Colpi, R., D'Este, G., Tonolo, A.: Quasi-tilting modules and counter equivalences. J. Algebra 191 (1997), 461-494; Corrigendum in J. Algebra 206 (1998), 370
9. Colpi, R., Tonolo, A., Trlifaj, J.: Partial cotilting modules and the lattices induced by them. Comm. Algebra 25 (1997), 3225-3237
10. Colpi, R., Trlifaj, J.: Tilting modules and tilting torsion theories. J. Algebra 178 (1995), 614-634
11. Eklof, P., Trlifaj, J.: How to make Ext vanish. Bull. London Math. Soc., to appear
12. Enochs, E.: Injective and flat covers, envelopes and resolvents. Israel J. Math. 39 (1981), 189-209
13. Happel, D.: Selforthogonal modules. In: Abelian groups and modules. Proc. of Padova Conf. (ed. by A. Facchini et al.). Math. Appl. 343 (1995), pp. 257-276
14. Happel, D., Ringel, C. M.: Tilted algebras. Trans. Amer. Math. Soc. 274 (1982), 399-443
15. Krause, H., Saorin, M.: On minimal approximations of modules. In: Trends in the representation theory of finite dimensioal algebras (ed. by E. L. Green and B. Huisgen-Zimmermann). Contemp. Math. 229 (1998), 227-236
16. Miyashita, Y.: Tilting modules of finite projective dimension. Math. Z. 193 (1986), 113-146
17. Rada, J., Saorin, M.: Rings characterized by (pre)envelopes and (pre)covers of their modules. Comm. Algebra 26 (1998), 899-912
18. Xu, J.: Flat Covers of Modules. Springer Lectures Notes in Maths. 1634 (1996)