代数和微分分次代数上的Recollement  

Recollement for algebras and differential graded algebras

作　　者：卢明[1] 

机构地区：[1]四川大学数学学院

出　　处：《四川大学学报（自然科学版）》2012年第3期525-530,共6页Journal of Sichuan University(Natural Science Edition)

摘　　要：在本文中,作者首先刻画了如果两个微分分次代数具有非零微分分次代数同态则它们的导出范畴构成Recollement的充要条件,其次得到了三个结合代数的导出范畴构成Recollement的充要条件,最后,作为上述定理的推论,得到了三个有限维结合代数的有界导出范畴构成Recollement的充分条件.This paper first gives a criterion for the existence of Recollement of the derived categories of two differential graded algebras, which have a nonzero morphism. Second, a criterion is obtained for the existence of Recollement of the derived categories of three associative algebras. Finally, a sufficient condition is obtained for the existence of Recollement of the bounded derived categories of three finite dimensional associative algebras.

关 键 词：RECOLLEMENT 微分分次代数 导出范畴 三角范畴 

分 类 号：O154.2[理学—数学]