Abstract:

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.

Key words: matrix extension, triangular matrix extension, Koszul algebra