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Tensor products of higher APR tilting modules

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arxiv 2211.04962 v1 pith:EEON5VLQ submitted 2022-11-09 math.RT

Xiaojian Lu This is my paper · ORCID
classification math.RT
keywords highermodulestiltingtensorauslander-reitenconsidercorrespondingintroduced
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The higher APR tilting modules and higher BB tilting modules were introduced and studied in higher Auslander-Reiten theory. Our objective is to consider these tilting modules by the corresponding simple modules, and show that the tensor product of higher APR (BB) tilting modules is a higher APR (BB) tilting module.

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Cited by 1 Pith paper

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  1. Mutation of $\tau$-exceptional sequences for acyclic quivers over local algebras

    math.RT 2025-05 conditional novelty 6.0 of 10

    For algebras R⊗kQ with R local and Q acyclic, BHM mutation of complete τ-exceptional sequences coincides with classical mutation, and the braid group acts transitively.

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