报告题目： Powers of ghost ideals

报 告 人：扶先辉 教授 东北师范大学

报告时间：2023年7月5日  11:10-11:55

报告地点：数学楼一楼第二报告厅

校内联系人：贾宏宇 jiahy1995@163.com

报告摘要：In this talk, the theory of infinite powers of ghost ideals is presented. A key tool developed in this theory is an ideal version of Eklof's Lemma. This theory is used to study Generalized Generating Hypothesis. In particular, (1) it is used to show a dual of a result of Xu: if the class of pure projective right R-modules is closed under extensions, then every FP-projective right R-module is pure projective; and (2) it is used to study the ghost ideal in the category of complexes. This is joint with S. Estrada, I. Herzog, and S. Odabasi.

报告人简介：扶先辉，东北师范大学教授，2008年获南京大学理学博士学位。研究方向为同调代数和K-理论。理想逼近理论研究成果获吉林省自然科学学术成果奖三等奖。