@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},
	}