设A是有限维志一代数,d=A-mod,国是西的有厚度子范畴,通过从西的Auslander-Reiten(AR)序列到导出范畴Db(奶的AR三角的转化,研究西的AR序列与Serre商范畴叫助的AR序列的关系.文中给出可的AR序列在商函子Q:A+A/B下的像是A/B的AR序列的充要条件.
Let A be a finite dimensional k-algebra, A be the category of finitely generated A-modules and B be a thick subcategory of A This paper mainly discusses the relationship between the Auslander-Reiten (AR) sequences of A and A/B by transforming the AR-sequences of A to the AR-triangles of the bounded derived category of A. We get some nec-essary and sufficient conditions that the AR-sequences of A/B are induced by the AR-sequences of A.