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τ-Rigid modules from tilted to cluster-tilted algebras

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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… Click to show full 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.

Keywords: rigid modules; cluster tilted; tilted algebras; modules tilted; tilted cluster

Journal Title: Communications in Algebra
Year Published: 2019

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