Wild tilted algebras revisited

• Autorzy: Otto Kerner
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1997
• Tom: 73
• Numer: 1
• Strony: 67-81

Daty

wydano

1997

otrzymano

1996-04-09

poprawiono

1996-07-03

Twórcy

autor

Otto Kerner

• Mathematisches Institut, Heinrich-Heine-Universität, Universitätsstr. 1, D-40225 Düsseldorf, Germany

Bibliografia

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• [2] W. Crawley-Boevey and O. Kerner, A functor between categories of regular modules for wild hereditary algebras, Math. Ann. 298 (1994), 481-487.
• [3] W. Geigle and H. Lenzing, Perpendicular categories with applications to representations and sheaves, J. Algebra 144 (1991), 273-343.
• [4] D. Happel, I. Reiten and S. Smalø, Tilting in abelian categories and quasitilted algebras, Mem. Amer. Math. Soc. 575 (1996).
• [5] D. Happel, J. Rickard and A. Schofield, Piecewise hereditary algebras, Bull. London Math. Soc. 20 (1988), 23-28.
• [6] D. Happel and C. M. Ringel, Tilted algebras, Trans. Amer. Math. Soc. 274 (1982), 399-443.
• [7] M. Hoshino, On splitting torsion theories induced by tilting modules, Comm. Algebra 11 (1983), 427-439.
• [8] M. Hoshino, Modules without self-extensions and Nakayama's conjecture, Arch. Math. (Basel) 43 (1984), 493-500.
• [9] O. Kerner, Tilting wild algebras, J. London Math. Soc. (2) 39 (1989), 29-47.
• [10] O. Kerner, Universal exact sequences for torsion theories, in: Topics in Algebra, Part 1, Banach Center Publ. 26, PWN, Warszawa, 1990, 317-326.
• [11] O. Kerner, Stable components of wild tilted algebras, J. Algebra 142 (1991), 37-57.
• [12] O. Kerner and F. Lukas, Regular modules over wild hereditary algebras, in: Representations of Finite-Dimensional Algebras, H. Tachikawa and V. Dlab (eds.), Proc. ICRA V, CMS Conf. Proc. 11, 1991, 191-208.
• [13] H. Lenzing and J. A. de la Peña, Wild canonical algebras, Math. Z., to appear.
• [14] H. Meltzer, Auslander-Reiten componentes for concealed-canonical algebras, Colloq. Math. 71 (1996), 183-202.
• [15] C. M. Ringel, Finite dimensional hereditary algebras of wild representation type, Math. Z. 161 (1978), 235-255.
• [16] C. M. Ringel, Tame Algebras and Integral Quadratic Forms, Lecture Notes in Math. 1099, Springer, 1984.
• [17] H. Strauss, On the perpendicular category of a partial tilting module, J. Algebra 144 (1991), 43-66.
• [18] A. Schofield, Semi-invariants of quivers, J. London Math. Soc. 43 (1991), 385-395.