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arXiv:1608.02418 [math.RT]AbstractReferencesReviewsResources

τ-Rigid Modules from Tilted to Cluster-Tilted Algebras

Stephen Zito

Published 2016-08-08Version 1

We study the module categories of a tilted algebra C and the corresponding cluster-tilted algebra B. In particular, we study which \tau-rigid C-modules are also \tau-rigid B-modules. In the special case where the C-module M is an indecomposable \tau-rigid module or a \tau-tilting module, we prove a necessary and sufficient condition for M to be a \tau-rigid B-module.

Comments: 21 pages. arXiv admin note: substantial text overlap with arXiv:1608.01616. text overlap with arXiv:1410.1732, arXiv:1604.06907 by other authors
Categories: math.RT
Subjects: 16G20, 16G70
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