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Cluster-tilted and quasi-tilted algebras.
- Source :
-
Journal of Pure & Applied Algebra . Sep2017, Vol. 221 Issue 9, p2266-2288. 23p. - Publication Year :
- 2017
-
Abstract
- In this paper, we prove that relation-extensions of quasi-tilted algebras are 2-Calabi–Yau tilted. With the objective of describing the module category of a cluster-tilted algebra of euclidean type, we define the notion of reflection so that any two local slices can be reached one from the other by a sequence of reflections and coreflections. We then give an algorithmic procedure for constructing the tubes of a cluster-tilted algebra of euclidean type. Our main result characterizes quasi-tilted algebras whose relation-extensions are cluster-tilted of euclidean type. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00224049
- Volume :
- 221
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Journal of Pure & Applied Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 122328235
- Full Text :
- https://doi.org/10.1016/j.jpaa.2016.12.008