报告题目：A Bijection Triangle in Extriangulated Categories

主 讲 人：赵 体 伟

单 位：曲阜师范大学

时 间：8月7日10:00

腾 讯ID：299 718 112

密 码：123456

摘 要：

Extriangulated categories were introduced by Nakaoka and Palu, which unify exact categories and extension-closed subcategories of triangulated categories, and recently Iyama, Nakaoka and Palu investigated Auslander-Reiten theory in terms of Auslander-Reiten-Serre duality in extriangulated categories. In this talk, we introduce the notion of Serre duality, as a special type of Auslander-Reiten-Serre duality, and then give an equivalent condition for the existence of Serre duality. On the other hand, we study a bijection triangle in extriangulated categories which involves the restricted Auslander bijection and Auslander-Reiten-Serre duality. Let $R$ be a commutative artinian ring. We show that the restricted Auslander bijection holds true in Hom-finite $R$-linear Krull-Schmidt extriangulated categories having Auslander-Reiten-Serre duality, and especially obtain the Auslander bijection in Hom-finite $R$-linear Krull-Schmidt extriangulated categories having Serre duality.

简 介：

赵体伟，曲阜师范大学副教授，主要研究领域为代数表示论，在J. Algebra，Science in China等著名SCI杂志上发表论文多篇，主持国家自然科学基金青年项目。