关于具有对偶基的有限结合代数

ON FINITE DIMESIONAL ASSOCIATIVE ALGEBRA WITH DUALOBASIS

本文在域F上有限结合代数中引入了迹函数,从而给出了具有对偶基的代数。D—代数的概念。在讨论了D—代数的性质的基础上,给出了结构及判定定理。本文所用数学名词及符号均引自。

In this paper, the concepts of trace functoin for finite dimensional associative algebras, D—algebra (the algebra with dual basis) are introduced. The property of D—algedras are studied. The characterzation and structure of D—algebras are given.