Title of article :
Gorenstein homological dimensions with respect to a semidualizing module
Author/Authors :
Zhang, Zhen Institution of Mathematics - School of Mathematics Science - Nanjing Normal University, China , Wei, Jiaqun Institution of Mathematics - School of Mathematics Science - Nanjing Normal University , China
Abstract :
In this paper, let R be a commutative ring and C a semidualizing module. We investigate the (weak) C-Gorenstein global dimension of R
and we get a simple formula to compute the C-Gorenstein global dimension.
Moreover, we compare it with the classical (weak) global dimension of R and
get the relations between them. At last, we compare the weak C-Gorenstein
global dimension with the C-Gorenstein global dimension and we get that they
are equal when R is Noetherian.
Keywords :
Semidualizing module , trivial extension ring , C-Gorenstein projective dimension
Journal title :
International Electronic Journal of Algebra
