代数闭域

由Gabriel定理，代数闭域上基的，连通的有限维结合代数A同构于一个由连通有限箭图Q确定的路代数的商代数。

From the famous Gabriel 's theorem , a basic connected finite dimensional associative algebra A over an algebraically closed field can be looked as a quotient of a path algebra decided by a connected finite quiver Q.

设A是代数闭域上的有限维遗传代数，A（1）是A的重复代数。

Assume A is a finite dimensional hereditary algebra over an algebraically closed field .

在特征数0的代数闭域上半单纯代数群的上同调群

The Cohomology of Semi - simple Algebraic Groups Over an Algebraically Closed Field of Characteristic O

研究了代数闭域上三维交换代数的分类。

In this paper , we discuss the classification of3-dimensionally commutative algebras on algebraically closed field .

第一章中，我们研究了剩余域是代数闭域的离散赋值环上的完全分次代数；

In the first chapter , we discuss the fully graded algebras over discrete valuation ring with an algebraically closed residue field of characteristic p.