报告地点：行健楼学术活动室526
邀请人：张海诚副教授
报告摘要：In this talk, we introduce and study the Grothendieck monoid of an n-exangulated category with n a positive integer. We classify dense and complete subcategories by using cofinal subtractive submonoids of Grothendieck monoids. This classification does not depend on the odevity of n, which is an improvement of the classification of Bergh and Thaule. Moreover, we introduce Serre subcategories of n-exangulated categories and prove that there are bijections between pairwise pairs in the following sets: (1) the set of Serre subcategories of an n-exangulated category; (2) the set of faces of its Grothendieck monoid; and (3) the set of prime ideals of its Grothendieck monoid. We also study the monoid spectrum of the Grothendieck monoid, and classify finitely generated Serre subcategories via its monoid spectrum.
专家简介：赵体伟，江汉大学，教授。研究方向为同调代数与代数表示论。主持国家自然科学基金面上项目，青年项目以及山东省自然科学基金青年项目，山东省高等学校青年创新团队项目等项目多项。在Journal of Algebra，Science China Mathematics，Proceedings of the Edinburgh Mathematical Society等国内外期刊上发表学术论文30余篇。
