Mutating ordered $τ$-rigid modules with applications to Nakayama algebras
A mutation operation for $τ$-exceptional sequences of modules over any finite-dimensional algebra was recently introduced, generalising the mutation for exceptional sequences of modules over hereditary algebras. We interpret this mutation in terms of TF-ordered $τ$-rigid modules, which are in bijection with $τ$-exceptional sequences. As an application we show that the mutation is transitive for Nakayama algebras, by providing an explicit combinatorial description of mutation over this class of algebras.
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