A NOTE ON WEAKLY l-KOSZUL MODULES
Let ?be an exact sequence of finitely generated graded A-module with M and N being weakly l-Koszul modules, where A is a l-Koszul algebra. If we have ?for all ?then K is also a weakly l-Koszul module, which perfects Lemma 3.1 of [5], where J is the graded Jacobson radical of A. Moreover, some applications of this result are also given.
l-Koszul algebras, l-Koszul modules, weakly l-Koszul modules.