ieja International Electronic Journal of Algebra 1306-6048 Abdullah HARMANCI 10.24330/ieja.373654 Gorenstein homological dimensions with respect to a semidualizing module Zhang Zhen Wei Jiaqun 01 11 2018 23 23 131 142 03 22 2017 Copyright © 2007, International Electronic Journal of Algebra 2007 International Electronic Journal of Algebra

In this paper, let R be a commutative ring and C a semidualizingmodule. We investigate the (weak) C-Gorenstein global dimension of Rand we get a simple formula to compute the C-Gorenstein global dimension.Moreover, we compare it with the classical (weak) global dimension of R andget the relations between them. At last, we compare the weak C-Gorensteinglobal dimension with the C-Gorenstein global dimension and we get that theyare equal when R is Noetherian.

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