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Topics in noncommutative ring theory

Topics in noncommutative ring theory
非交换环理论主题
批准号:
194196-2010
负责人:
Zhou, Yiqiang
金额:
$0.87万
依托单位国家:
加拿大
项目类别:
Discovery Grants Program - Individual
财政年份:
2014
资助国家:
加拿大
项目状态:
已结题
起止时间:
2014-01-01 至 2015-12-31

项目摘要

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中文摘要
翻译
现代代数通常被认为是自然科学的通用语言。环理论已成为现代代数的重要组成部分,因为它对数学、计算机科学和物理学的其他分支的重要性日益增加。 这里的目的是继续申请人对环的研究,环是一组可以用连接这两个操作的通常分配规则进行“加法”和"乘法“的集合。经典的例子是整数环与通常的操作,环的所有多项式与整数或合理的系数,和环的n乘n矩阵的条目是真实的数字。
英文摘要
Modern algebra is generally considered as the universal language of natural sciences. Ring theory has become an important part of modern algebra because of its increasing significance to other branches of mathematics, computer science and physics. The aim here is to continue the applicant's investigations of rings, which are sets in which one can ``add'' and ``multiply'' with the usual rules of distributivity connecting these two operations. The classical examples are the ring of integers with the usual operations, the ring of all polynomials with integer or rational coefficients, and the ring of n by n matrices whose entries are real numbers.
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Topics in Noncommutative Ring Theory
  • 批准号:
    RGPIN-2022-03783
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $1.31万
  • 财政年份:
    2022
  • 负责人:
    Zhou, Yiqiang
  • 依托单位:
Topics in noncommutative ring theory
  • 批准号:
    RGPIN-2016-04706
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $1.31万
  • 财政年份:
    2021
  • 负责人:
    Zhou, Yiqiang
  • 依托单位:
Topics in noncommutative ring theory
  • 批准号:
    RGPIN-2016-04706
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $1.31万
  • 财政年份:
    2020
  • 负责人:
    Zhou, Yiqiang
  • 依托单位:
Topics in noncommutative ring theory
  • 批准号:
    RGPIN-2016-04706
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $1.31万
  • 财政年份:
    2019
  • 负责人:
    Zhou, Yiqiang
  • 依托单位:
海外基金