Godement积和函子范畴的recollement（英文）  

Godement Products and Recollements of Functor Categories

作　　者：周振强 ZHOU Zhenqiang(School of Applied Mathematics,Xiamen University of Technology,Xiamen,Fujian,361024,P.R China)

机构地区：[1]厦门理工学院应用数学学院,厦门福建361024

出　　处：《数学进展》2018年第6期813-820,共8页Advances in Mathematics（China）

基　　金：supported by NSFC(Nos.11701486,11626199);the High-level Personnel of Special Support Program of Xiamen University of Techonology(No.YKJ15032R)

摘　　要：对给定的两个伴随对,本文利用Godement积给出其上函子范畴的伴随对.进一步地,本文证明:如果一个预加范畴的recollement满足加法函数j~*是满的,则该recollement可以自然诱导其上模范畴的一个阿贝尔范畴的recollement.该结果从范畴的角度给出了三角矩阵环可自然具有recollement的一个新解释.For two given adjoint pairs, an adjunction between the related functor categories is constructed by using Godement products. Furthermore, we show that if a recollement of pre- additive categories satisfying that the additive functor j is full, then it gives rise to an abelian recollement of their module categories. This result gives a new illustration to the recollements for triangular matrix rings from categorial approaches.

关 键 词：Godement积 伴随对 函子范畴 RECOLLEMENT 

分 类 号：O154.1[理学—数学]