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【网络讲座】数学与统计学院学术报告(时间 8.7)
【 作者:  校对时间:2020年08月05日 17:27  访问次数: 】

报告地点:腾讯ID299718112 密码:123456

主办单位:数学与统计学院

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202087日上午10:00开始

 

10:00

赵体伟副教授

报告二:A   Bijection Triangle in Extriangulated Categories

 报告简介: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.

专家简介:

 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. AlgebraScience 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。