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2021.10.06,赵体伟,副教授,曲阜师范大学,The Auslander bijection in extriangulated categories

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学术报告

报告人:赵体伟 副教授 曲阜师范大学数学科学学院

报告题目: The Auslander bijection in extriangulated categories

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.

时间:2021.10.06下午1600-1700

地点:腾讯会议 会议ID: 657 738 720

 

报告人简介:赵体伟,曲阜师范大学数学科学学院副教授。博士毕业于南京大学,研究方向为同调代数与代数表示论。目前主持国家自然科学基金青年基金一项、山东省自然科学基金青年基金一项;作为主要参与人参加国家自然科学基金面上项目一项;参与山东省高等学校青创人才引育计划一项。已在《Journal of Algebra》、《Science China Mathematics》、《Proceedings of the Edinburgh Mathematical Society》、《Manuscripta Mathematica》等国际期刊发表学术论文10余篇。

 

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