Title: Classification of cosilting modules in type $\tilde{A}$
Abstract: Torsion pairs in the category of finitely presented modules over a noetherian ring can be parametrised by the class of cosilting modules. In this paper, we characterise such modules in terms of their indecomposable summands, providing a new approach to the classification of torsion pairs. In particular, we classify cosilting modules over cluster-tilted algebras of type $\tilde{A}$. We do this by using a geometric model for finite- and infinite-dimensional modules over such algebras.
Publication Year: 2019
Publication Date: 2019-11-06
Language: en
Type: preprint
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Cited By Count: 2
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