On injective and Gorenstein injective dimensions of local cohomology modules
… is to study the injective and Gorenstein injective dimensions of certain R-modules in terms
of injective and Gorenstein injective dimensions of local cohomology modules at support a. In …
of injective and Gorenstein injective dimensions of local cohomology modules at support a. In …
Cohomology theories based on Gorenstein injective modules
J Asadollahi, S Salarian - Transactions of the American Mathematical …, 2006 - ams.org
… and Tate cohomology of modules of finite Gorenstein injective dimension. Using these
cohomology theories, we present variations of Grothendieck local cohomology modules, namely …
cohomology theories, we present variations of Grothendieck local cohomology modules, namely …
Generalized local cohomology modules and homological Gorenstein dimensions
K Divaani-Aazar, A Hajikarimi - Communications in Algebra®, 2011 - Taylor & Francis
… R-modules P. Then for an R-module N, the notion Gid N, Gorenstein injective dimension of
… right resolutions of N which are consisting of Gorenstein injective modules. Similarly, Gpd N, …
… right resolutions of N which are consisting of Gorenstein injective modules. Similarly, Gpd N, …
Gorenstein injective modules and local cohomology
R Sazeedeh - Proceedings of the American Mathematical Society, 2004 - ams.org
… M its local cohomology modules can be calculated by means of a resolution of M by
Gorenstein injective modules. Also we prove that if R is d-Gorenstein, M is a Gorenstein injective …
Gorenstein injective modules. Also we prove that if R is d-Gorenstein, M is a Gorenstein injective …
Local cohomology modules and Gorenstein injectivity with respect to a semidualizing module
MR Zargar - Archiv der Mathematik, 2013 - Springer
… the top local cohomology module Hdim R α (R) is a Gorenstein injective R-module for any
ideal a of R. Notice that an injective module is a Gorenstein injective module. In Yoshizawa [20…
ideal a of R. Notice that an injective module is a Gorenstein injective module. In Yoshizawa [20…
[HTML][HTML] Gorenstein homological dimensions
H Holm - Journal of pure and applied algebra, 2004 - Elsevier
… , injective and flat dimensions of modules play an important and fundamental role. In this
paper, the closely related Gorenstein projective, Gorenstein injective and Gorenstein flat …
paper, the closely related Gorenstein projective, Gorenstein injective and Gorenstein flat …
Gorenstein homology and finiteness properties of local (co) homology
H Faridian - arXiv preprint arXiv:2010.03013, 2020 - arxiv.org
… Gorenstein homology. The main ingredients of this relative theory are Gorenstein projective,
Gorenstein injective, and Gorenstein … Gorenstein injective modules and Gorenstein injective …
Gorenstein injective, and Gorenstein … Gorenstein injective modules and Gorenstein injective …
Gorenstein homological theory for differential modules
J Wei - Proceedings of the Royal Society of Edinburgh Section …, 2015 - cambridge.org
… module is Gorenstein projective (injective, respectively) if and only if its underlying module
is Gorenstein projective (injective, … –Zhang theorem on differential modules to the Avramov–…
is Gorenstein projective (injective, … –Zhang theorem on differential modules to the Avramov–…
On Gorenstein injective modules
EE Enochs, OMG Jenda - Communications in Algebra, 1993 - Taylor & Francis
… still remained as to when copure injective means Hom(E(R)/R, M) = 0 if idR 2 2. In Corollary
… a Gorenstein injective R-module. We will say that an R-module M is strongly copvre injective …
… a Gorenstein injective R-module. We will say that an R-module M is strongly copvre injective …
Homotopy theory of modules and Gorenstein rings
A Beligiannis - Mathematica Scandinavica, 2001 - JSTOR
… Using injective homotopy we obtain the stable category Mod(A) which is al ways right
triangulated, and using projective homotopy we obtain the stable category Mod(A) which is always …
triangulated, and using projective homotopy we obtain the stable category Mod(A) which is always …