Mathematical Sciences: Verbally Prime Algebras

这个项目是关于口头语言的研究 主皮氏代数 这些代数是基本的积木 在T理想理论中。 主要研究者将 研究通用模型的结构，嵌入定理， 不变量理论的应用 这项研究是在一般领域的非交换 戒指理论 特别是，它涉及一类 满足多项式方程的环。 这一地区，与 组合定理的发现 代数的结构理论，已经成为一个 令人兴奋的主题，目前的研究在环理论与 对表征理论的影响。

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.