Gluing support τ-tilting modules via symmetric ladders of height 2  

作　　者：Yingying Zhang 

机构地区：[1]Department of Mathematics,Huzhou University,Huzhou 313000,China

出　　处：《Science China Mathematics》2024年第10期2217-2236,共20页中国科学（数学）（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No. 12201211);the China Scholarship Council (Grant No. 202109710002)。

摘　　要：Gluing techniques with respect to a recollement have long been studied. Recently, ladders of recollements of abelian categories were introduced as important tools. In this paper, we present explicit constructions of gluing support τ-tilting modules via symmetric ladders of height two. Moreover, we apply the result to triangular matrix algebras to give a detailed version of the known Jasso's reduction and study maximal green sequences.

关 键 词：support-tilting module torsion class semibrick LADDER triangular matrix algebra maximal green sequence 

分 类 号：O153.3[理学—数学]