Abstract

Let A be a finite-dimensional algebra over arbitrary base field k. We prove: if the unbounded derived module category D � (Mod-A) admits symmetric recollement relative to unbounded derived module categories of two finite-dimensional k-algebras B and C: D � (ModB) � D � (ModA) � D � (ModC), then the unbounded derived module category D � (ModT(A)) admits symmetric recollement relative to the unbounded derived module categories of T(B) and T(C): D � (ModT(B)) � D � (ModT(A)) � D � (ModT(C)).

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