| 半粘合诱导的t-结构 |
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| 引用本文： | 尹幼奇.半粘合诱导的t-结构[J].数学杂志,2017,37(6):1215-1219. |
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| 作者姓名： | 尹幼奇 |
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| 作者单位： | 上海交通大学数学系, 上海 200240;绍兴文理学院数学系, 浙江 绍兴 312000 |
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| 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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| 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.
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| 关 键 词： | 三角范畴 上(下)粘合 稳定t-结构 |
| 收稿时间： | 2015/11/11 0:00:00 |
| 修稿时间： | 2016/2/18 0:00:00 |
T-STRUCTURES INDUCED BY HALF RECOLLEMENTS |
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| YIN You-qi.T-STRUCTURES INDUCED BY HALF RECOLLEMENTS[J].Journal of Mathematics,2017,37(6):1215-1219. |
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| Authors: | YIN You-qi |
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| Affiliation: | Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China;Department of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing 312000, China |
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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. |
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| Keywords: | triangulated category upper(lower) recollement stable t-structure |
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