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On silting theory for complete path algebras

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CC BY 4.0
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Published
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Abstract · v1

Let QQ be a finite quiver and let ΛΛ be the complete path algebra of QQ with respect to the arrow ideal. We study the mutation of silting objects in the bounded homotopy category of projective ΛΛ-modules and characterise in which cases the mutation theories of silting complexes and 2-term silting complexes of ΛΛ are determined by those of a finite dimensional quotient Λ/IΛ/I. This characterisation is closely related to a characterisation of 2-term silting finite quotient algebras.

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