For recollements of module categories, semibricks on the two outer algebras glue via the intermediate extension functor to semibricks on the middle algebra, yielding a construction of support tau-tilting modules over tau-tilting finite algebras.
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A construction of support $\tau$-tilting modules over $\tau$-tilting finite algebras
For recollements of module categories, semibricks on the two outer algebras glue via the intermediate extension functor to semibricks on the middle algebra, yielding a construction of support tau-tilting modules over tau-tilting finite algebras.