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| 摘要: |
| 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. |
| 关键词: 三角范畴 上(下)粘合 稳定t-结构 |
| DOI： |
| 分类号:O153.3 |
| 基金项目:Supported by National Natural Science Foundation of China (11271251; 11431010; 11571239); Zhejiang Provincial Natural Science Foundation (LY14A010006). |
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| T-STRUCTURES INDUCED BY HALF RECOLLEMENTS |
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YIN You-qi
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| Abstract: |
| 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. |
| Key words: triangulated category upper(lower) recollement stable t-structure |
