| In this thesis we discuss the filtration dimensions and tilting modules of generalized power series algebras.In chapter 1 we give some notations,basic concepts,resarching background and the main results.In chapter 2 we discuss the filtration dimensions and finite dimensions of generalized power series algebras, and obtain some interesting results. In this chapter we obtain the result that if A is R-module.In chaper 3,we discuss the characteristic modules and tilting modules of generalized power series algebras We have the results that is the characteristic module of[[RS,≤]] if T is the characteristic module of R;and that is the tilting module of if T is the tilting module of R. |
