The δ-Koszulity Of Finitely Generated Graded Modules

In2005, Green and Marcos introduced the notion of δ-Koszul algebra, which is a further generalization of Koszul algebras. In this thesis, we mainly discuss the δ-Koszulity of finitely generated graded modules over δ-Koszul algebras. In particular, by defining the notions of weakly δ-Koszul module and block δ-Koszul module, we give some necessary and sufficient conditions for the finitely generated graded modules over δ-Koszul algebra to be δ-Koszul, and we investigate some related properties of weakly δ-Koszul modules and block δ-Koszul modules.