τ-Tilting finite cluster-tilted algebras
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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. read more here.
Keywords: finite cluster; cluster tilted; tilting finite; tilted algebras ... See more keywords
τ-Rigid modules from tilted to cluster-tilted algebras
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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. read more here.
Keywords: rigid modules; cluster tilted; tilted algebras; modules tilted ... See more keywords
Derived class of m-cluster tilted algebras of type ????̃
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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… read more here.
Keywords: class cluster; cluster tilted; tilted algebras; derived class ... See more keywords
Hochschild cohomology of m-cluster tilted algebras of type 𝔸̃
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DOI: 10.1142/s0219498821500183
Abstract: In this paper, we compute the dimension of the Hochschild cohomology groups of any [Formula: see text]-cluster tilted algebra of type [Formula: see text]. Moreover, we give conditions on the bounded quiver of an [Formula:… read more here.
Keywords: formula see; hochschild cohomology; cluster tilted; see text ... See more keywords