[PDF][PDF] Homological invariants related to semidualizing bimodules
X Tang, Z Huang - Colloquium Mathematicum, 2019 - researchgate.net
Let R and S be rings and RCS a semidualizing bimodule. We show that the supremum of the
C-projective dimensions of C-flat left R-modules is less than or equal to that for left R …
C-projective dimensions of C-flat left R-modules is less than or equal to that for left R …
Relative weak global Gorenstein dimension, AB-contexts and model structures
In this paper we introduce and study the weak Gorenstein global dimension of a ring $ R $
with respect to a left $ R $-module $ C $. We provide several characterizations of when this …
with respect to a left $ R $-module $ C $. We provide several characterizations of when this …
[PDF][PDF] When the flat and Gorenstein flat dimensions coincide?
S Bouchiba - Colloq. Math, 2017 - researchgate.net
It is well known that, given a ring R, if M is an R-module such that pdR (M)<∞, then GidR
(M)= idR (M)(Holm, 2004). This shows in particular that if R is a Noetherian ring such that …
(M)= idR (M)(Holm, 2004). This shows in particular that if R is a Noetherian ring such that …
[引用][C] A note on Gorenstein projective and Gorenstein flat modules
X Wang - Journal of Algebra and Its Applications, 2023 - World Scientific
We prove that all Gorenstein projective modules are Gorenstein flat if and only each
Gorenstein projective module has finite Gorenstein flat dimension. As applications, some …
Gorenstein projective module has finite Gorenstein flat dimension. As applications, some …