| We mainly discuss the Finitistic dimension conjecture for Koszul algebras and the Koszul-type property for graded modules with pure resolutions over Koszul-type algebras in this thesis. More precisely, we prove that the Finitistic dimension conjecture is true for self-dual Koszul algebras. Some sufficient conditions for graded modules with pure res-olutions over Koszul algebras/d-Koszul algebras to be Koszul/discrete Koszul are given. Moreover, some related results are generalized to the δ-Koszul algebra case. |
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