@article{article_373654, title={Gorenstein homological dimensions with respect to a semidualizing module}, journal={International Electronic Journal of Algebra}, volume={23}, pages={131–142}, year={2018}, DOI={10.24330/ieja.373654}, author={Zhang, Zhen and Wei, Jiaqun}, keywords={Semidualizing module,trivial extension ring,C-Gorenstein projective dimension}, abstract={<div>In this paper, let R be a commutative ring and C a semidualizing </div> <div>module. We investigate the (weak) C-Gorenstein global dimension of R </div> <div>and we get a simple formula to compute the C-Gorenstein global dimension. </div> <div>Moreover, we compare it with the classical (weak) global dimension of R and </div> <div>get the relations between them. At last, we compare the weak C-Gorenstein </div> <div>global dimension with the C-Gorenstein global dimension and we get that they </div> <div>are equal when R is Noetherian. </div>}, number={23}, publisher={Abdullah HARMANCI}