Gorenstein homological dimensions with respect to a semidualizing module

Year 2018, Volume: 23 Issue: 23 , 131 - 142 , 11.01.2018

Zhen Zhang Jiaqun Wei

https://doi.org/10.24330/ieja.373654

Cited By: 3

https://izlik.org/JA74KW36FB

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

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