学术报告:5月14日16:00-17:00,Yuanlin Li,Brock University

发布时间:2018-05-14浏览次数:13

东南大学数学学院邀请专家申请表

  

报告人

Yuanlin Li

单位

Brock   University

报告题目

On *-clean non-commutative   group rings

报告时间

514日(周一)下午

400-500

地点

九龙湖第一报告厅

邀请人

陈建龙

报告摘要

Abstract:   A ring with involution  is   called -clean if each   of its elements is a sum of a unit and a projection (-invariant idempotent). Recently clean rings and -clean rings   have been studied intensively by several authors. In this talk, we discuss   the group rings of the dihedral groups D2n, and the generalized quaternion   groups Q2n with the standard involution . For the non-semisimple group ring case, we   characterize the-cleanness   of RD2pk with a prime p  J(R), and RD2n with 2    J(R), where R is a commutative local ring and J(R) is its Jacobson radical.   For the semisimple group ring case. we investigate when KG is -clean, where   K is the field of rational numbers Q or a finite field Fq and G = D2n or G =   Q2n. A complete characterization of such group rings is given.

报告人简介

李元林教授1997年获加拿大纽芬兰纪念大学(Memorial   University of Newfoundland)博士学位、之后在阿尔伯塔大学(University   of Alberta)做博士后。先后在纽芬兰纪念大学(MUN)、渥太华大学(Univerity of Ottawa) 以及布鲁克大学(Brock   University)任教。现为布鲁克大学终身教授,博士生导师。研究领域主要是群论,环论以及组合数论。1998 年开始,先后主持,完成 6 加拿大国家自然科学基金项目,并在《J.Algebra》、《Journal of Canadian Math>> 、《Comm.Algebra》等国际著名学术杂志上发了80多篇学术论文。