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On silting theory for complete path algebras

arXiv Mathematics · WORLD · Mathematics · 11/4/2026, 12:00:00 AM

arXiv:2611.03890v1 Announce Type: new Abstract: Let $Q$ be a finite quiver and let $\Lambda$ be the complete path algebra of $Q$ with respect to the arrow ideal. We study the mutation of silting objects in the bounded homotopy category of projective $\Lambda$-modules and characterise in which cases the mutation theories of silting complexes and 2-term silting complexes of $\Lambda$ are determined by those of a finite dimensional quotient $\Lambda/I$. This characterisation is closely related to a characterisation of 2-term silting finite quotient algebras.

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