Gorenstein homological dimensions with respect to a semidualizing module

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International Electronic Journal of Algebra
Volume:23 Issue:23
Gorenstein homological dimensions with respect to a semidualizing module

Gorenstein homological dimensions with respect to a semidualizing module

Authors : Zhen ZHANG, Jiaqun WEİ

Pages : 131-142

Doi:10.24330/ieja.373654

View : 16 | Download : 7

Publication Date : 2018-01-11

Article Type : Research Paper

Abstract :In this paper, let R be a commutative ring and C a semidualizing module. We investigate the insert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(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

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