Some Classes Of Koszul-type Algebras With Nonpure Resolutions

This thesis is a continuous work on Koszul-type algebras with non-pure resolutions. More precisely, we introduce three new classes of algebras:generalized bi-Koszul algebras, (a, b, c, d)-Koszul algebras and generalized discrete Koszul algebras. For each class of such algebras, we study the structures and properties of the Yoneda algebras. Moreover, several equivalent descriptions for each class of algebra are given. The results we obtained in this thesis will rich the theory of Koszul algebras further.