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arXiv · 1911.02495

Classification of cosilting modules in type $\tilde{A}$

Karin Baur·Rosanna Laking
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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.

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BibTeXRIS

Karin Baur, Rosanna Laking. 2019-11-06. Classification of cosilting modules in type $\tilde{A}$. https://arxiv.org/abs/1911.02495

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