报告地点：翡翠科教楼B1702

报告人：Yiqiang Zhou 教授

工作单位：加拿大纽芬兰纪念大学

举办单位：数学学院

报告人简介：

周毅强教授在环论、模论和环上的线性代数理论做了许多出色的工作，是国际环论研究的领军人物之一。先后主持完成多项加拿大国家自然科学基金及博士点基金，出版专著《Classesof Modules》一部，在J. Algebra和J. Pure and Applied Algebra等国际著名学术杂志上发布150多篇学术论文。

报告一：New developments of the study of fine rings

报告时间：2024年6月4日（星期二）15:00-16:30

报告简介：

A ring (associative with identity) is called a fine ring if every nonzero element in it is the sum of a nilpotent element and a unit. G.Calugareanu and T.Y. Lam initiated the study of fine rings in "Fine rings: A new class of simple rings.", J. Algebra Appl. (2016). In this talk, we review known results and discuss new developments of this study.

报告二：Unit-fusible property via regularity-1

报告时间：2024年6月5日（星期三）15:00-16:30

报告简介：

An element in a ring (associative with identity) is called left unit-fusible if it is the sum of a left zero-divisor and a unit, and the ring is left unit-fusible if each of its nonzero elements is left unit-fusible. These notions rose in a paper by Ghashghaei and McGovern [E. Ghashghaei and W.Wm. McGovern, Fusible rings. Comm. Algebra 45(3)(2017), 1151-1165], where, among others, it is shown that unit-regular rings are unit-fusible and it is unknown whether or not every regular ring is unit-fusible. In this talk, we address the question of how (unit-) regularity and unit-fusible property are related to each other.

报告三：Unit-fusible property via regularity-2

报告时间：2024年6月6日（星期四）15:00-16:30

报告简介：

An element in a ring (associative with identity) is called left unit-fusible if it is the sum of a left zero-divisor and a unit, and the ring is left unit-fusible if each of its nonzero elements is left unit-fusible. These notions rose in a paper by Ghashghaei and McGovern [E. Ghashghaei and W.Wm. McGovern, Fusible rings. Comm. Algebra 45(3)(2017), 1151-1165], where, among others, it is shown that unit-regular rings are unit-fusible and it is unknown whether or not every regular ring is unit-fusible. In this talk, we address the question of how (unit-) regularity and unit-fusible property are related to each other.