A note on the injective dimension of local cohomology modules
M Hellus - Proceedings of the American Mathematical Society, 2008 - ams.org
… For a Noetherian ring R we call an R-module M cofinite if there … module M satisfies dimR(M)
≤ injdimR(M). As an application we study the question which local cohomology modules Hi …
≤ injdimR(M). As an application we study the question which local cohomology modules Hi …
On endomorphism rings and dimensions of local cohomology modules
P Schenzel - Proceedings of the American Mathematical Society, 2009 - ams.org
… cohomology commutes with localization. Furthermore E · ⊗ Rp is isomorphic to the minimal
injective … in order to estimate the dimension of local cohomology modules. To this end let us …
injective … in order to estimate the dimension of local cohomology modules. To this end let us …
On the H-finite cohomology
T Guédénon - Journal of Algebra, 2004 - Elsevier
… good behavior with respect to injective objects. We also show … category of finite-dimensional
H-modules, we obtain more … property, we construct an injective resolution for every object …
H-modules, we obtain more … property, we construct an injective resolution for every object …
On injective and Gorenstein injective dimensions of local cohomology modules
… injective dimensions of a relative Cohen-Macaulay module and its non-zero local cohomology
module… Here we adopt the convention that the injective dimension of the zero module is to …
module… Here we adopt the convention that the injective dimension of the zero module is to …
[HTML][HTML] Cohomological dimension, cofiniteness and Abelian categories of cofinite modules
K Bahmanpour - Journal of Algebra, 2017 - Elsevier
… More precisely, we define the M -cohomological dimension of M relative to I, denoted by M -
cd ( I , … For any R-module N, we use the notation E R ( N ) for the injective envelope of the R-…
cd ( I , … For any R-module N, we use the notation E R ( N ) for the injective envelope of the R-…
On the dimension and multiplicity of local cohomology modules
MP Brodmann, RY Sharp - Nagoya Mathematical Journal, 2002 - cambridge.org
… This paper is concerned with a finitely generated module M … formulae for the local cohomology
modules of M with respect to … local cohomology modules do not hold over all local rings. …
modules of M with respect to … local cohomology modules do not hold over all local rings. …
[PDF][PDF] Modules with injective cohomology, and local duality for a finite group
D Benson - New York J. Math, 2001 - emis.de
… Much of this paper is concerned with the depth and the Krull dimension of the cohomology
ring, and various localizations of it. We begin with a statement that must be well known, but for …
ring, and various localizations of it. We begin with a statement that must be well known, but for …
Cohomology theories based on Gorenstein injective modules
J Asadollahi, S Salarian - Transactions of the American Mathematical …, 2006 - ams.org
… They studied absolute, relative and Tate cohomology of modules of finite Gorenstein
dimension. In this section we deal with modules of finite G-injective dimension. Basically some of …
dimension. In this section we deal with modules of finite G-injective dimension. Basically some of …
Injective dimension of cofinite modules and local cohomology
F Asghari, R Naghipour, M Sedghi - Revista de la Real Academia de …, 2024 - Springer
… for injective dimension. As an application we obtain some results on the injective dimension
of local cohomology modules. … a Cohen–Macaulay R-module of finite projective dimension. …
of local cohomology modules. … a Cohen–Macaulay R-module of finite projective dimension. …
Cohomological properties of modules with secondary represetations
L Melkersson - Mathematica Scandinavica, 1995 - JSTOR
… module is representable, and so is any injective module as … A module M is said to have finite
Goldie dimension, if M does … nonzero submodules, or equivalently the injective hull £(M) of …
Goldie dimension, if M does … nonzero submodules, or equivalently the injective hull £(M) of …
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