Topics in noncommutative ring theory

非交换环理论主题

• 批准号: RGPIN-2016-04706
• 负责人: Zhou, Yiqiang
• 金额: $ 1.31万
• 依托单位: Memorial University of Newfoundland
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2017
• 资助国家: 加拿大
• 起止时间: 2017-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=635435
• 关键词: Topics; noncommutative; ring; theory

Ring theory is a subject of central importance in algebra, and is of increasing significance to other branches of mathematics, computer science and physics. It is a study of rings, which are sets in which one can "add" and "multiply" as in arithmetic. Rings arise naturally in studies of various mathematical objects. Some familiar examples are the ring of integers, the ring of polynomials, and the ring of square matrices of the same size.

环理论是代数学中的一个重要课题，对数学、计算机科学和物理学的其他分支也有着越来越重要的意义。这是一个研究环，这是一个可以“加”和“乘”的集合，如算术。环在各种数学对象的研究中自然出现。一些熟悉的例子是整数环、多项式环和相同大小的方阵环。