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-  2017 

半粘合诱导的t-结构
T-STRUCTURES INDUCED BY HALF RECOLLEMENTS

Keywords: 三角范畴 上(下)粘合 稳定t-结构
triangulated category upper(lower) recollement stable t-structure

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Abstract:

本文研究了对于给定的一个三角范畴的上(下)粘合(C',C,C"),如何由C的一个t-结构诱导C'和C"的t-结构的问题.利用左(右)t-正合函子的概念,给出了由C的一个t-结构可诱导出C'和C"的t-结构的充分条件.将粘合的一些相关结果推广到了上(下)粘合的情形.
Let C', C and C" be triangulated categories. In this paper, we consider how to induce t-structures on C' and C" from a t-structure on C given an upper (resp. lower) recollement of C relative to C' and C". By the concept of left(right) t-exact, we give a sufficient condition such that a t-structure on C may induce t-structures on C' and C", which generalizes some results concerning recollements to upper (resp. lower) recollements

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