報告題目: Powers of ghost ideals
報 告 人:扶先輝 教授 東北師範大學
報告時間:2023年7月5日 11:10-11:55
報告地點:數學樓一樓第二報告廳
校内聯系人:賈宏宇 jiahy1995@163.com
報告摘要: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.
報告人簡介:扶先輝,東北師範大學教授,2008年獲南京大學理學博士學位。研究方向為同調代數和K-理論。理想逼近理論研究成果獲吉林省自然科學學術成果獎三等獎。