SUPPORT τ-TILTING MODULES AND RECOLLEMENTS

被引：3
|
作者：
Ma, Xin [1 ]
Xie, Zongzhen [2 ]
Zhao, Tiwei [3 ]
机构：
[1] Henan Univ Engn, Coll Sci, Zhengzhou 451191, Peoples R China
[2] Nanjing Med Univ, Sch Biomed Engn & Informat, Dept Math & Comp Sci, Nanjing 211166, Peoples R China
[3] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
来源：
COLLOQUIUM MATHEMATICUM | 2022年 / 167卷 / 02期
基金：
中国博士后科学基金;
关键词：
torsion pairs; recollements; (support) tau-tilting modules; TORSION THEORIES; PAIRS; CATEGORIES; OBJECTS;
D O I：
10.4064/cm8358-11-2020
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let (mod A', mod A, mod A '') be a recollement of abelian categories for artin algebras A', A and A ''. Under certain conditions, we present an explicit construction of gluing of (support) tau-tilting modules in mod A with respect to (support) tau-tilting modules in mod A' and mod A'' respectively. On the other hand, we study the construction of (support) tau-tilting modules in mod A' and mod A '' obtained from (support) tau-tilting modules in mod A.
引用
收藏
页码：303 / 328
页数：26
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