Some results on local cohomology modules defined by a pair of ideals
CHU Lizhong, W Qing - Journal of Mathematics of Kyoto University, 2009 - projecteuclid.org
… As a generalization of the usual local cohomology modules, Takahashi, Yoshino and
Yoshizawa [6] introduced the local cohomology modules with respect to a pair of ideals (I,J). To be …
Yoshizawa [6] introduced the local cohomology modules with respect to a pair of ideals (I,J). To be …
Top local cohomology modules with respect to a pair of ideals
L Chu - Proceedings of the American Mathematical Society, 2011 - ams.org
… -zero finitely generated R−module. We investigate the top local cohomology module HdimM
… We get some results about attached prime ideals of the local cohomology module HdimM I,J …
… We get some results about attached prime ideals of the local cohomology module HdimM I,J …
Finiteness of local cohomology modules defined by a pair of ideals
… The local cohomology theory has been an significant tool in … cohomology modules, Takahashi
et al. [Citation18], introduced the local cohomology modules with respect to a pair of ideals…
et al. [Citation18], introduced the local cohomology modules with respect to a pair of ideals…
[PDF][PDF] Artinianness of local cohomology modules defined by a pair of ideals
… In this direction, we study the local cohomology modules with respect to a pair of ideals
by the notion of Serre subcategory. One of the main results of this paper (Theorem 2.1) is a …
by the notion of Serre subcategory. One of the main results of this paper (Theorem 2.1) is a …
Cofiniteness of local cohomology modules for a pair of ideals for small dimensions
M Aghapournahr - Journal of Algebra and Its Applications, 2018 - World Scientific
… Let M be a finite R-module and I an ideal of R. … local cohomology modules, Takahashi,
Yoshino and Yoshizawa [31], introduced local cohomology modules with respect to a pair of ideals…
Yoshino and Yoshizawa [31], introduced local cohomology modules with respect to a pair of ideals…
On formal local cohomology modules with respect to a pair of ideals
TH Freitas, VHJ Pérez - 2016 - projecteuclid.org
… concept of formal local cohomology introduced by Schenzel. In order to do this we will need
to use the notion of the local cohomology module with respect to a pair of ideals. That notion …
to use the notion of the local cohomology module with respect to a pair of ideals. That notion …
Some splitting theorems for local cohomology modules with respect to a pair of ideals
B Naal, K Khashyarmanesh - Journal of Algebra and its Applications, 2021 - World Scientific
… ΓI,J(−)) coincides with the ordinary local cohomology module Hi … local cohomology with
respect to a pair of ideals. As a consequence, we find that if M is a finitely generated module over …
respect to a pair of ideals. As a consequence, we find that if M is a finitely generated module over …
Lower bounds for local cohomology modules with respect to a pair of ideals
M Lotfi Parsa, S Payrovi - Algebra Colloquium, 2016 - World Scientific
… of local cohomology modules with respect to a pair of ideals by using the notion of Serre
subcategories. Let S be a Serre subcategory of the category of R-modules satisfying the …
subcategories. Let S be a Serre subcategory of the category of R-modules satisfying the …
Regular sequences and local cohomology modules with respect to a pair of ideals
… study extension functors of local cohomology modules with respect to a pair of ideals. Let S
be … local cohomology modules and local cohomology modules with respect to a pair of ideals. …
be … local cohomology modules and local cohomology modules with respect to a pair of ideals. …
On graded local cohomology modules defined by a pair of ideals
… is the ordinary local cohomology functor when J = 0 (see [3]). … the study of a dual of ordinary
local cohomology modules … result to local cohomology modules defines by a pair of ideals. …
local cohomology modules … result to local cohomology modules defines by a pair of ideals. …
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