Contravariantly finite subcategories in a tilting torsion class

Progress in Natural Science

Volumn 11, Issue 10, 2001, Pages 799-800

  Zhu, Bin ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

Contravariantly finite subcategory; Tilting module; Torsion class

Indexed keywords

CONDITION; CONTRAVARIANTLY FINITE SUBCATEGORY; TILTING MODULES; TORSION CLASS;

TORSIONAL STRESS;

EID: 21444459098     PISSN: 10020071     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

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2. Ringel, C. M. The category of modules with a good filtration over a quasi-hereditary algebra has almost split sequences. Math. Zeit., 1991, 208: 209.
3. Auslander, M. et al. Applications of contravariantly finite subcategories. Advances in Math., 1991, 86: 111.
4. Auslander, M. et al. Homological finite subcategories. In: Representation Theory of Algebras and Related Topics (Kyoto, 1990), London Math. Soc. Lecture Notes Series 168, London: Cambridge Univ. Press. 1992, 1-42.
5. Carlson, J. et al. Contravariantly finite subcaiegories and irreducible maps. Proc. AMS, 1993, 117(1): 61.
6. Igusa, K. et al. Finite projectivity and contravariantly finiteness. Proc. AMS, 1990, 109(4): 937.
7. Smalø, S. O. Functorially finite subcategories over triangular matrix rings. Proc. AMS, 1991, 111(3): 651.
8. Ringel, C. M. Tame Algebras and Integral Quadratic Forms. LNM 1099, Berlin: Springer-Verlag, 1984.