Mathematical Sciences: Verbally Prime Algebras

数学科学：口头质数代数

• 批准号: 9100258
• 负责人: Allan Berele
• 金额: $ 3.25万
• 依托单位: DePaul University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-06-01 至 1993-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9100258&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Verbally; Prime; Algebras

This project is concerned with the study of verbally prime p.i. algebras. These algebras are basic building blocks in the theory of T-ideals. The principal investigator will study the structure of generic models, embedding theorems, and applications of invariant theory. This research is in the general area of noncommutative ring theory. In particular, it is concerned with a class of rings which satisfy a polynomial equation. This area, with the discovery of combinatorial theorems that provide insight into the structure theory of the algebra, has become an exciting topic of current research in ring theory with implications for representation theory.

这个项目是关于口头质数pi代数的研究。这些代数是t理想理论的基本组成部分。首席研究员将研究泛型模型的结构、嵌入定理和不变量理论的应用。本研究属于非交换环理论的一般范畴。特别地，它涉及一类满足多项式方程的环。这个领域，随着组合定理的发现，提供了对代数结构理论的洞察，已经成为当前环理论研究的一个令人兴奋的话题，对表示理论有影响。