Finiteness of representation dimension

Proceedings of the American Mathematical Society

Volumn 131, Issue 4, 2003, Pages 1011-1014

  Iyama, Osamu ^a,b  

^a KYOTO UNIVERSITY   (Japan)

^b UNIVERSITY OF HYOGO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037385191     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-02-06616-9     Document Type: Conference Paper

References (14)

1. [A] M. Auslander: Representation dimension of Artin algebras. Lecture notes, Queen Mary College, London, 1971.
2. [ARS] M. Auslander, I. Reiten, S. O. Smale: Representation theory of Artin algebras. Cambridge Studies in Advanced Mathematics, 36, Cambridge University Press, Cambridge, 1995. MR 96c:l6015, MR98e:16011
3. [CPS] E. Cline, B. Parshall, L. Scott: Finite-dimensional algebras and highest weight categories. J. Reine Angew. Math. 391 (1988), 85-99. MR 90d:18005
4. [DR1] V. Dlab, C. M. Ringel: Quasi-hereditary algebras. Illinois J. Math. 33 (1989), no. 2, 280-291. MR90e:16023
5. [DR2] V. Dlab, C. M. Ringel: Every semiprimary ring is the endomorphism ring of a projective module over a quasihereditary ring. Proc. Amer. Math. Soc. 107 (1989), no. 1, 1-5. MR 89m:16033
6. [FGR] R. M. Fossum, P. Griffith, I. Reiten: Trivial extensions of abelian categories. Lecture Notes in Mathematics, Vol. 456, Springer-Verlag, Berlin-New York, 1975. MR 52:10810
7. [HS] P. J. Hilton, U. Stammbach: A course in homological algebra. Graduate Texts in Mathematics, 4. Springer-Verlag, New York, 1997, xii+364 pp. MR 07k:18001
8. [I1] O. Iyama: τ-categories II: Nakayama pairs and rejective subcategories, to appear in Algebras and Representation theory.
9. [I2] O. Iyama: τ-categories III: Auslander orders and Auslander-Reiten quivers, to appear in Algebras and Representation theory.
10. [I3] O. Iyama: A proof of Solomon's second conjecture on local zeta functions of orders, to appear in J. Algebra.
11. [IT] K. Igusa, G. Todorov: On the finitistic global dimension conjecture, preprint.
12. [T] H. Tachikawa: Quasi-Frobenius rings and generalizations. Lecture Notes in Mathematics, Vol. 351, Springer-Verlag, Berlin-New York, 1973. MR 50:2233
13. [X1] C. C. Xi: On the representation dimension of finite dimensional algebras. J. Algebra 226 (2000), no. 1, 332-346. MR 2001d:16027
14. [X2] C. C. Xi: Representation dimension and quasi-hereditary algebras, to appear in Adv. Math.