@article{(Open Science Index):https://publications.waset.org/pdf/16764, title = {n− Strongly Gorenstein Projective, Injective and Flat Modules}, author = {Jianmin Xing Wei Shao}, country = {}, institution = {}, abstract = {Let R be a ring and n a fixed positive integer, we investigate the properties of n-strongly Gorenstein projective, injective and flat modules. Using the homological theory , we prove that the tensor product of an n-strongly Gorenstein projective (flat) right R -module and projective (flat) left R-module is also n-strongly Gorenstein projective (flat). Let R be a coherent ring ,we prove that the character module of an n -strongly Gorenstein flat left R -module is an n-strongly Gorenstein injective right R -module . At last, let R be a commutative ring and S a multiplicatively closed set of R , we establish the relation between n -strongly Gorenstein projective (injective , flat ) R -modules and n-strongly Gorenstein projective (injective , flat ) S−1R-modules. All conclusions in this paper is helpful for the research of Gorenstein dimensions in future. }, journal = {International Journal of Mathematical and Computational Sciences}, volume = {7}, number = {2}, year = {2013}, pages = {255 - 258}, ee = {https://publications.waset.org/pdf/16764}, url = {https://publications.waset.org/vol/74}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 74, 2013}, }