Relative grade and relative Gorenstein dimension with respect to a semidualizing module
M Salimi, E Tavasoli - Proceedings-Mathematical Sciences, 2023 - Springer
Let R be a commutative Noetherian ring, and let C be a semidualizing R-module. For R-
modules M and N, the notions grade PC (M, N) and grade IC (M, N) are introduced as the …
modules M and N, the notions grade PC (M, N) and grade IC (M, N) are introduced as the …
Strongly Gorenstein flat and Gorenstein FP-injective modules
C Yang - Turkish Journal of Mathematics, 2013 - journals.tubitak.gov.tr
In this paper, we first study the properties of strongly Gorenstein flat (resp. Gorenstein FP-
injective) modules which are special Gorenstein projective (resp. Gorenstein injective) …
injective) modules which are special Gorenstein projective (resp. Gorenstein injective) …
Transfer properties of Gorenstein homological dimension with respect to a semidualizing module
Z Di, X Yang - 대한수학회지, 2012 - dbpia.co.kr
The classes of GC homological modules over commutative ring, where C is a semidualizing
module, extend Holm and J gensen's notions of C-Gorenstein homological modules to the …
module, extend Holm and J gensen's notions of C-Gorenstein homological modules to the …
Gorenstein dimensions over some rings of the form
PP Aung - Journal of Algebra and Its Applications, 2016 - World Scientific
Given a semidualizing module C over a commutative Noetherian ring, Holm and Jørgensen
[Semi-dualizing modules and related Gorenstein homological dimensions, J. Pure Appl …
[Semi-dualizing modules and related Gorenstein homological dimensions, J. Pure Appl …
Homological dimension based on a class of Gorenstein flat modules
G Dalezios, I Emmanouil - Comptes …, 2023 - comptes-rendus.academie-sciences …
In this paper, we study the relative homological dimension based on the class of projectively
coresolved Gorenstein flat modules (PGF-modules), that were introduced by Saroch and …
coresolved Gorenstein flat modules (PGF-modules), that were introduced by Saroch and …
Gorenstein homological dimensions and Auslander categories
MA Esmkhani, M Tousi - Journal of Algebra, 2007 - Elsevier
In this paper, we study Gorenstein projective and flat modules over a Noetherian ring R. For
an R-module M, we show that Gorenstein projective dimension of M is finite if and only if …
an R-module M, we show that Gorenstein projective dimension of M is finite if and only if …
Homological dimensions with respect to a semidualizing complex
J Totushek - 2015 - search.proquest.com
A fintitely generated R-module C is semidualizing if R= HomR (C, C) and [special charactes
omitted](C, C)= 0. In this dissertation we build off of Takahashi and White's P C-projective …
omitted](C, C)= 0. In this dissertation we build off of Takahashi and White's P C-projective …
Local cohomology modules and Gorenstein injectivity with respect to a semidualizing module
MR Zargar - Archiv der Mathematik, 2013 - Springer
Let (R, m) be a local ring, and let C be a semidualizing R-module. In this paper, we are
concerned with the C-injective and GC-injective dimensions of certain local cohomology …
concerned with the C-injective and GC-injective dimensions of certain local cohomology …