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t-结构与心的Recollement

DOI: 10.11830/ISSN.1000-5013.2010.03.0356

Keywords: 三角范畴, t-结构,, Recollement

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Abstract:

设三角范畴D允许有关于三角范畴D′和D″的Recollement,给出D中t-结构能够诱导D′和D″的t-结构的充分必要条件.证明在一定条件下,D中t-结构的心允许有关于D′和D″的t-结构的心的Recollement,从而由已知三角范畴的Recollement构造若干Abel范畴的Recollement.

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