Wild tilted algebras revisited

Otto Kerner

Colloquium Mathematicae (1997)

  • Volume: 73, Issue: 1, page 67-81
  • ISSN: 0010-1354

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Kerner, Otto. "Wild tilted algebras revisited." Colloquium Mathematicae 73.1 (1997): 67-81. <http://eudml.org/doc/210479>.

@article{Kerner1997,
author = {Kerner, Otto},
journal = {Colloquium Mathematicae},
keywords = {Auslander-Reiten quivers; wild tilted algebras},
language = {eng},
number = {1},
pages = {67-81},
title = {Wild tilted algebras revisited},
url = {http://eudml.org/doc/210479},
volume = {73},
year = {1997},
}

TY - JOUR
AU - Kerner, Otto
TI - Wild tilted algebras revisited
JO - Colloquium Mathematicae
PY - 1997
VL - 73
IS - 1
SP - 67
EP - 81
LA - eng
KW - Auslander-Reiten quivers; wild tilted algebras
UR - http://eudml.org/doc/210479
ER -

References

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  1. [1] M. Auslander and S. Smalø, Almost split sequences in subcategories, J. Algebra 69 (1981), 426-454. Zbl0457.16017
  2. [2] W. Crawley-Boevey and O. Kerner, A functor between categories of regular modules for wild hereditary algebras, Math. Ann. 298 (1994), 481-487. Zbl0793.16005
  3. [3] W. Geigle and H. Lenzing, Perpendicular categories with applications to representations and sheaves, J. Algebra 144 (1991), 273-343. 
  4. [4] D. Happel, I. Reiten and S. Smalø, Tilting in abelian categories and quasitilted algebras, Mem. Amer. Math. Soc. 575 (1996). Zbl0849.16011
  5. [5] D. Happel, J. Rickard and A. Schofield, Piecewise hereditary algebras, Bull. London Math. Soc. 20 (1988), 23-28. Zbl0638.16018
  6. [6] D. Happel and C. M. Ringel, Tilted algebras, Trans. Amer. Math. Soc. 274 (1982), 399-443. Zbl0503.16024
  7. [7] M. Hoshino, On splitting torsion theories induced by tilting modules, Comm. Algebra 11 (1983), 427-439. Zbl0506.16018
  8. [8] M. Hoshino, Modules without self-extensions and Nakayama's conjecture, Arch. Math. (Basel) 43 (1984), 493-500. Zbl0547.16014
  9. [9] O. Kerner, Tilting wild algebras, J. London Math. Soc. (2) 39 (1989), 29-47. Zbl0675.16013
  10. [10] O. Kerner, Universal exact sequences for torsion theories, in: Topics in Algebra, Part 1, Banach Center Publ. 26, PWN, Warszawa, 1990, 317-326. Zbl0743.16014
  11. [11] O. Kerner, Stable components of wild tilted algebras, J. Algebra 142 (1991), 37-57. Zbl0737.16007
  12. [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. Zbl0746.16006
  13. [13] H. Lenzing and J. A. de la Peña, Wild canonical algebras, Math. Z., to appear. 
  14. [14] H. Meltzer, Auslander-Reiten componentes for concealed-canonical algebras, Colloq. Math. 71 (1996), 183-202. Zbl0923.16016
  15. [15] C. M. Ringel, Finite dimensional hereditary algebras of wild representation type, Math. Z. 161 (1978), 235-255. Zbl0415.16023
  16. [16] C. M. Ringel, Tame Algebras and Integral Quadratic Forms, Lecture Notes in Math. 1099, Springer, 1984. 
  17. [17] H. Strauss, On the perpendicular category of a partial tilting module, J. Algebra 144 (1991), 43-66. Zbl0746.16009
  18. [18] A. Schofield, Semi-invariants of quivers, J. London Math. Soc. 43 (1991), 385-395. Zbl0779.16005

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