中文摘要：

利用表示论的组合工具研究Koszul代数的n-扩张代数.结果表明：一类Koszul代数的n-三角扩张仍是Koszul代数;对于d≥3时的d-Koszul代数,其n-扩张一般不再是d-Koszul代数.

英文摘要：

We mainly studied the n-extensions of Koszul algebras with the help of the combination tools in representation theory.We got the conclusion that some n-triangular extensions of Koszul algebras are also Koszul algebras.Finally,an example was given to show that for the integer d≥3,the n-extensions algebras of d-Koszul algebras may not be d-Koszul algebras.