On module categories with nilpotent infinite radical

Otto Kerner; Andrzej Skowroński

Compositio Mathematica (1991)

  • Volume: 77, Issue: 3, page 313-333
  • ISSN: 0010-437X

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Kerner, Otto, and Skowroński, Andrzej. "On module categories with nilpotent infinite radical." Compositio Mathematica 77.3 (1991): 313-333. <http://eudml.org/doc/90076>.

@article{Kerner1991,
author = {Kerner, Otto, Skowroński, Andrzej},
journal = {Compositio Mathematica},
keywords = {finite dimensional k-algebra; category of finitely generated right A- modules; infinite radical; left or right T-nilpotent; tame; representation-finite; standard representation-infinite self-injective algebra; domestic; repetitive algebra; representation-infinite tilted algebra},
language = {eng},
number = {3},
pages = {313-333},
publisher = {Kluwer Academic Publishers},
title = {On module categories with nilpotent infinite radical},
url = {http://eudml.org/doc/90076},
volume = {77},
year = {1991},
}

TY - JOUR
AU - Kerner, Otto
AU - Skowroński, Andrzej
TI - On module categories with nilpotent infinite radical
JO - Compositio Mathematica
PY - 1991
PB - Kluwer Academic Publishers
VL - 77
IS - 3
SP - 313
EP - 333
LA - eng
KW - finite dimensional k-algebra; category of finitely generated right A- modules; infinite radical; left or right T-nilpotent; tame; representation-finite; standard representation-infinite self-injective algebra; domestic; repetitive algebra; representation-infinite tilted algebra
UR - http://eudml.org/doc/90076
ER -

References

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  2. [AS1] I. Assem, A. Skowroński: On some classes of simply connected algebras. Proc. London Math. Soc.56 (1988), 417-450. Zbl0617.16018MR931509
  3. [AS2] I. Assem, A. Skowroński: Algebras with cycle-finite derived categories. Math. Ann.280 (1988), 441-463. Zbl0617.16017MR936322
  4. [ANS] I. Assem, J. Nehring, A. Skowroński: Domestic trivial extensions of simply connected algebras. Tsukuba J. Math.13 (1989), 31-72. Zbl0686.16011MR1003591
  5. [BG] K. Bongartz, P. Gabriel: Covering spaces in representation theory. Invent. Math.65 (1982), 331-378. Zbl0482.16026MR643558
  6. [CB] W.W. Crawley-Boevey: On tame algebras and BOCSES. Proc. London Math. Soc.56 (1988), 451-483. Zbl0661.16026MR931510
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  10. [F] U. Fischbacher: Une nouvelle preuve d'une théorème de Nazarova et Roiter. C. R. Acad. Sci. Paris, t. 300, Sèrie I, Nr. 9 (1985), 259-262. Zbl0586.16012MR785064
  11. [HW] D. Hughes, J. Waschbüsch: Trivial extensions of tilted algebras. Proc. London Math. Soc.46 (1983), 347-364. Zbl0488.16021MR693045
  12. [K] O. Kerner: Tilting wild algebras. J. London Math. Soc.39 (1989), 29-47. Zbl0675.16013MR989917
  13. [NS] F. Nehring, A. Skowroński: Polynomial growth trivial extensions of simply connected algebras. Fundamenta Math.132 (1989), 117-134. Zbl0677.16008MR1002626
  14. [PS] Z. Pogorzaly, A. Skowroński: Selfinjective biserial standard algebras. To appear in J. Algebra. Zbl0808.16019
  15. [R1] C.M. Ringel: Report on the Brauer-Thrall conjectures: Roiter's theorem and the theorem of Nazarova and Roiter. In Representation theory I, Springer Lecture Notes in Mathematics831 (1980), 104-136. Zbl0444.16019MR607142
  16. [R2] C.M. Ringel: Tame algebras. In Representation theory I, Springer Lecture Notes in Mathematics831 (1980), 137-287. Zbl0448.16019MR607143
  17. [R3] C.M. Ringel: Tame algebras and integral quadratic forms. Springer Lecture Notes in Mathematics1099 (1984). Zbl0546.16013MR774589
  18. [S1] A. Skowroński: Algebras of polynomial growth. In Topics in Algebra, Banach Center177-199. Zbl0729.16005MR1016089
  19. [S2] A. Skowroński: Algebras of polynomial growth. In Topics in Algebra, Banach Center Publications, vol. 26, to appear. Zbl0729.16005MR1171252

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