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October 16, 2025Open Access

Transitivity of mutation of $τ$-exceptional sequences in the $τ$-tilting finite case

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Mutation of complete τ-exceptional sequences is shown to be transitive, enhancing the understanding of algebra structures.
Key finding demonstrates the consistency of mutation behavior in τ-tilting finite algebras, supporting further algebraic studies.
Algebraic structures exhibit transitive properties under mutation, which simplifies the analysis of exceptional sequences.
Implications point to deeper relationships in τ-tilting finite algebras, encouraging exploration in related mathematical domains.

Proves transitivity of mutation in complete τ-exceptional sequences for τ-tilting finite algebras, indicating structural uniformity.

We prove that mutation of complete $τ$-exceptional sequences is transitive for $τ$-tilting finite algebras.

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Buan et al. (2025) studied this question.

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Proves transitivity of mutation in complete τ-exceptional sequences for τ-tilting finite algebras, indicating structural uniformity.

We prove that mutation of complete $τ$-exceptional sequences is transitive for $τ$-tilting finite algebras.