课题基金 / 基金详情

The algebraic structures of group rings and related topics

The algebraic structures of group rings and related topics
群环的代数结构及相关主题
批准号:
217632-2007
负责人:
Li, Yuanlin
金额:
$0.73万
依托单位:
依托单位国家:
加拿大
项目类别:
Discovery Grants Program - Individual
财政年份:
2007
资助国家:
加拿大
项目状态:
已结题
起止时间:
2007-01-01 至 2008-12-31

项目摘要

项目成果

Li, Yuanlin的其他基金

相似基金

相关文献

中文摘要
翻译
点击翻译按钮获取中文摘要
英文摘要
A ring is an algebraic system satisfying  certain axioms. The group ring of a group G over a commutative ring K is the ring KG of all formal finite sums, and is an attractive object of study. Here group theory, ring theory, commutative algebra and number theory come together in a fruitful way.My recent research work has thrown light on the algebraic structures of group rings and their unit groups, and has important applications in coding theory and combinatorial number theory. This will continue to be the main stream of my research program for the next 5 years. I will study several open problems and conjectures in group rings, including  the normalizer problem -- a long standing research problem, and the first Zassenhaus Conjecture. While much of my recent work is in group rings, I am also involved in some other areas including module theory. Most recently, I have started research in a new exciting area. Dr. Gao and I are able to use group rings as a tool to investigate some problems in combinatorial number theory such as Davenport's constant and the more general zero-sum problems.
期刊论文(0)
专著(0)
科研奖励(0)
会议论文
Arithmetic in group rings and study of zero-sum problems in combinatorial number theory
  • 批准号:
    RGPIN-2017-03903
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $1.02万
  • 财政年份:
    2021
  • 负责人:
    Li, Yuanlin
  • 依托单位:
Arithmetic in group rings and study of zero-sum problems in combinatorial number theory
  • 批准号:
    RGPIN-2017-03903
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $1.02万
  • 财政年份:
    2020
  • 负责人:
    Li, Yuanlin
  • 依托单位:
Arithmetic in group rings and study of zero-sum problems in combinatorial number theory
  • 批准号:
    RGPIN-2017-03903
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $1.02万
  • 财政年份:
    2019
  • 负责人:
    Li, Yuanlin
  • 依托单位:
Arithmetic in group rings and study of zero-sum problems in combinatorial number theory
  • 批准号:
    RGPIN-2017-03903
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $1.02万
  • 财政年份:
    2018
  • 负责人:
    Li, Yuanlin
  • 依托单位:
国内基金
海外基金
飞行器板壳结构红外热波无损检测基础理论和关键技术的研究
  • 批准号:
    60672101
  • 项目类别:
    面上项目
  • 资助金额:
    26.0万元
  • 批准年份:
    2006
  • 负责人:
    郭兴旺
  • 依托单位:
新型嘧啶并三环化合物的合成研究
  • 批准号:
    20572032
  • 项目类别:
    面上项目
  • 资助金额:
    25.0万元
  • 批准年份:
    2005
  • 负责人:
    柏旭
  • 依托单位:
磁层重联区相干结构动力学过程的观测研究