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Published in 2020 at "Proceedings of the Edinburgh Mathematical Society"
DOI: 10.1017/s0013091520000255
Abstract: We prove if B is a cluster-tilted algebra, then B is τB-tilting finite if and only if B is representation-finite.
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Keywords:
finite cluster;
cluster tilted;
tilting finite;
tilted algebras ... See more keywords
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Published in 2019 at "Communications in Algebra"
DOI: 10.1080/00927872.2019.1570232
Abstract: Abstract We study the module categories of a tilted algebra C and the corresponding cluster-tilted algebra where E is the C-C-bimodule . In particular, we study which τC-rigid C-modules are also τB-rigid B-modules.
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Keywords:
rigid modules;
cluster tilted;
tilted algebras;
modules tilted ... See more keywords
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Published in 2018 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s021949881850216x
Abstract: In this paper, we characterize all the finite-dimensional algebras that are derived equivalent to an [Formula: see text]-cluster tilted algebras of type [Formula: see text]. This generalizes a result of Bobiński and Buan [The algebras…
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Keywords:
class cluster;
cluster tilted;
tilted algebras;
derived class ... See more keywords