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Recollements of extension algebras

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Abstract

Let A be a finite-dimensional algebra over arbitrary base fieldk. We prove: if the unbounded derived module category D-(Mod-A) admits symmetric recollement relative to unbounded derived module categories of two finite-dimensionalk-algebras B and C:

then the unbounded derived module category D-(Mod - T(A)) admits symmetric recollement relative to the unbounded derived module categories of T(B) and T(C):

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Authors and Affiliations

  1. Department of Mathematics, Xiamen University, 361005, Xiamen, China

    Qinghua Chen & Yanan Lin

Authors
  1. Qinghua Chen
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  2. Yanan Lin
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Correspondence to Yanan Lin.

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Chen, Q., Lin, Y. Recollements of extension algebras. Sci. China Ser. A-Math. 46, 530–537 (2003). https://doi.org/10.1007/BF02884025

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  • DOI: https://doi.org/10.1007/BF02884025

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