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Tilting mutation of gentle algebras and its combinatorial description
Tilting mutation provides a natural way to construct derived-equivalent algebras by replacing an indecomposable summand of a tilting object. In this paper, we study tilting mutation of gentle algebras via generalized $\mathrm{BB}$-tilting modules. For a gentle algebra $A=\mathbb{k} Q/\langle I\rangl
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