半粘合诱导的t-结构（英文）

发布时间：2019-04-09 18:17

【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.
[Abstract]:In this paper, the problem of how to induce the t-structure of C 'and C "by a t-structure of C is studied for the upper (lower) adhesion of a given triangle category (C, C"). By using the concept of left (right) t-congruent functor, the sufficient conditions for inducing the t-structure of C 'and C "from a t-structure of C are given. Some related results of adhesion are generalized to the case of upper (lower) adhesion.
【作者单位】： 上海交通大学数学系;绍兴文理学院数学系;
【基金】：Supported by National Natural Science Foundation of China(11271251;11431010;11571239) Zhejiang Provincial Natural Science Foundation(LY14A010006)
【分类号】：O154.1

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