A note on tilting sequences

• Autorzy: Clezio Braga , Flávio Coelho
• Języki publikacji: EN

Abstrakty

EN

We discuss the existence of tilting modules which are direct limits of finitely generated tilting modules over tilted algebras.

Słowa kluczowe

EN

tilting modules; direct limits; tilted algebras

Kategorie tematyczne

• 16E30: Homological functors on modules (Tor, Ext, etc.)
• 16D90: Module categories ; module theory in a category-theoretic context; Morita equivalence and duality
• 16G10: Representations of Artinian rings

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2008
• Tom: 6
• Numer: 3
• Strony: 364-371

Daty

wydano

2008-09-01

online

2008-07-02

Twórcy

autor

Clezio Braga

• Universidade Estadual do Oeste do Paraná

autor

Flávio Coelho

• Universidade de São Paulo

Bibliografia

• [1] Angeleri-Hügel L., Coelho F.U., Infinitely generated tilting modules of finite projective dimension, Forum Math., 2001, 13, 239–250 http://dx.doi.org/10.1515/form.2001.006
• [2] Assem I., Simson D., Skowroński A., Elements of the representation theory of associative algebras, London Mathematical Society Student Texts 65, Cambridge University Press, Cambridge, 2006
• [3] Auslander M., Platzeck M.I., Reiten I., Coxeter functors without diagrams, Trans. Amer. Math. Soc., 1979, 250, 1–46 http://dx.doi.org/10.2307/1998978
• [4] Auslander M., Reiten I., Smalø S., Representation theory of Artin algebras, Cambridge Studies in Advanced Mathematics 36, Cambridge University Press, Cambridge, 1995
• [5] Bazzoni S., Stovícek J., All tilting modules are of finite type, Proc. Amer. Math. Soc., to appear
• [6] Braga C., Coelho F.U., Limits of tilting modules, preprint
• [7] Brenner S., Butler M.C.R., Generalizations of the Bernstein-Gelfand-Ponomarev reflection functors, Proc. Second Internat. Conf. Carleton Univ. (1979 Ottawa Canada), Lecture Notes in Math. 832, Springer, Berlin-New York, 1980, 103–169
• [8] Buan A., Solberg O., Limits of pure-injective cotilting modules, Algebr. Represent. Theory, 2005, 8, 621–634 http://dx.doi.org/10.1007/s10468-005-0341-8
• [9] Eklof P., Trlifaj J., How to make Ext vanish, Bull. London Math. Soc., 2001, 33, 41–51 http://dx.doi.org/10.1112/blms/33.1.41
• [10] Happel D., Ringel C.M., Tilted algebras, Trans. Amer. Math. Soc., 1982, 274, 399–443 http://dx.doi.org/10.2307/1999116
• [11] Liu S., Tilted algebras and generalized standard Auslander-Reiten components, Arch. Math., 1993, 61, 12–19 http://dx.doi.org/10.1007/BF01258050
• [12] Skowroński A., Generalized standard Auslander-Reiten components without oriented cycles, Osaka J. Math., 1993, 30, 515–527
• [13] Skowroński A., Minimal representation-infinite Artin algebras, Math. Proc. Cambridge Philos. Soc., 1994, 116, 229–243 http://dx.doi.org/10.1017/S0305004100072546

Identyfikatory

DOI

10.2478/s11533-008-0029-5