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math.RT2026
Wide subcategories and brick-finiteness for length categories
Francesco Sentieri
We extend to abelian length categories of finite rank a characterisation of brick-finiteness known for finite-dimensional algebras. We prove that such a category is brick-finite if…
math.RT2024
Large Bricks and Join-irreducible torsionfree classes
Francesco Sentieri
We show that every join-irreducible torsionfree class in the category of finitely generated modules over an artinian ring is cogenerated by a single (not necessarily finitely gener…
math.RT2020
A brick version of a theorem of Auslander
Francesco Sentieri
We prove that a finite dimensional algebra is tilting finite if and only if all the bricks over are finitely generated. This is obtained as a consequence of the existen…