主讲人：胡江胜博士（江苏理工学院）

主持人：周国栋副教授

直播渠道：腾讯会议  会议 ID：224 181 968 会议密码：200925   

开始时间：2020年9月25日15:00

报告人简介： 胡江胜，江苏理工学院副教授。2013年博士毕业于南京大学，2016-2018年在南京师范大学从事博士后研究。主要研究方向: 同调代数、代数表论理论。在《J. Algebra》、《J. Pure Appl. Algebra》、《Algebr. Represent. Theory》等重要杂志上发表论文多篇，并主持（完成）多项国家自然科学基金。

报告内容简介： Let T be a right exact functor from an abelian category B into another

abelian categoryA. Then there exists a functor p from the product categoryA x B to the comma category (T ↓ A). In this talk, we study the property of the extension closure of some classes of objects in the comma category (T ↓ A), the exactness of the functor p and the detail description of orthogonal classes of a given class p (X, Y) in

(T ↓ A). Moreover, we characterize when special precovering classes in abelian categories A and B can induce special precovering classes in (T ↓ A). As an application, we prove that under suitable cases, the class of Gorenstein projective left Λ-modules over a triangular matrix ring Λ is special precovering if and only if both the classes of Gorenstein projective left R-modules and left S-modules are special precovering. Consequently, we produce a large variety of examples of rings such that the class of Gorenstein projective modules is special precovering over them. The talk is based on a recent joint work with Haiyan Zhu.