References
Cline, E., Parshall, B., Scott, L., Finite-dimensional algebras and highest weight categories,J. reine angew. Math., 1988, 391: 85.
Bernstein, I. N., Gelfand, I. M., Gelfand, S. I., A category of g-modules,Funct. Anal. Appl., 1976, 10: 67.
Ringel, C. M., The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences,Math. Zeit., 1991, 208: 209.
Xi, C. C., Endomorphism algebras of F(Δ) over quasi-hereditary algebras,J. Algebra, 1995, 175: 966.
Xi, C. C., Quasi-hereditary algebras with a duality,J. reine angew. Math., 1994, 449: 201.
Dlab, V., Ringel, C. M., The module theoretical approach to quasi-hereditary algebras,London Math. Soc., Lecture Notes Ser., 1992, 168: 200.
Xi, C. C., On representation types of q-Schur algebras,J. Pure Appl. Algebra, 1993, 84: 73.
Westbury, B., The representation theory of Temperley-Lieb algebras,Math. Z., 1995, 219: 539.
Ringel, C. M., Tame algebras and integral quardratic forms,Lecture Notes in Math., Vol. 1099, Berlin: Springer-Verlag, 1984.
Dlab, V., Ringel, C. M., III, Quasi-hereditary algebras,J. Math., 1989, 33: 280.
Deng, B. M., Xi, C. C., Quasi-hereditary algebras which are dual extensions of algebras,Comm. in Algebra, 1994, 22: 4717.
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Deng, B., Xi, C. A necessary condition for the finiteness of Δ-good module categories. Chin.Sci.Bull. 42, 1416–1420 (1997). https://doi.org/10.1007/BF02883047
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DOI: https://doi.org/10.1007/BF02883047