Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
We discuss the existence of tilting modules which are direct limits of finitely generated tilting modules over tilted algebras.
Słowa kluczowe
Wydawca
Czasopismo
Rocznik
Tom
Numer
Strony
364-371
Opis fizyczny
Daty
wydano
2008-09-01
online
2008-07-02
Twórcy
autor
- Universidade Estadual do Oeste do Paraná, clezio@unioeste.br
autor
- Universidade de São Paulo, fucoelho@ime.usp.br
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
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_2478_s11533-008-0029-5