A new proof concerning quasi-tilted algebras
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- by Stephen Zito PDF
- Proc. Amer. Math. Soc. 147 (2019), 2757-2760 Request permission
Abstract:
Let $\Lambda$ be a quasi-tilted algebra. If $\Lambda$ is representation-finite, it was shown by Happel, Reiten, and Smalø that $\Lambda$ is tilted. We provide a new, short proof of this result.References
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- Dieter Happel and Claus Michael Ringel, Tilted algebras, Trans. Amer. Math. Soc. 274 (1982), no. 2, 399–443. MR 675063, DOI 10.1090/S0002-9947-1982-0675063-2
- Dieter Happel, Idun Reiten, and Sverre O. Smalø, Tilting in abelian categories and quasitilted algebras, Mem. Amer. Math. Soc. 120 (1996), no. 575, viii+ 88. MR 1327209, DOI 10.1090/memo/0575
- Alicja Jaworska, Piotr Malicki, and Andrzej Skowroński, Tilted algebras and short chains of modules, Math. Z. 273 (2013), no. 1-2, 19–27. MR 3010149, DOI 10.1007/s00209-012-0993-0
Additional Information
- Stephen Zito
- Affiliation: Mathematics Faculty, University of Connecticut-Waterbury, Waterbury, Connecticut 06702
- MR Author ID: 1256378
- Email: stephen.zito@uconn.edu
- Received by editor(s): August 24, 2018
- Published electronically: March 26, 2019
- Additional Notes: The author was supported by the University of Connecticut-Waterbury
- Communicated by: Jerzy Weyman
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 2757-2760
- MSC (2010): Primary 16G10, 16G60
- DOI: https://doi.org/10.1090/proc/14524
- MathSciNet review: 3973879