Cofiniteness of Local Cohomology Modules over Homomorphic Image of Cohen-Macaulay Rings
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mathematica Vietnamica"
DOI: 10.1007/s40306-018-0246-3
Abstract: AbstractLet (R,????)$(R,\mathfrak {m})$ be a Noetherian local ring, M a non-zero finitely generated R-module, and let I be an ideal of R. In this paper, we establish some new properties of local cohomology modules HIi(M)$\mathrm… read more here.
Keywords: homomorphic image; local cohomology; modules homomorphic; cohomology modules ... See more keywords
Local cohomology modules via certain flat extension rings
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2018.01.045
Abstract: Abstract Let ( R , m ) be a Noetherian local ring and M a finitely generated R-module. Let P ∈ Spec ( R ˆ ) and p = P ∩ R . Then the… read more here.
Keywords: modules via; local cohomology; via certain; cohomology modules ... See more keywords
FROBENIUS ACTIONS ON LOCAL COHOMOLOGY MODULES AND DEFORMATION
Sign Up to like & getrecommendations! Published in 2017 at "Nagoya Mathematical Journal"
DOI: 10.1017/nmj.2017.20
Abstract: Let $(R,\mathfrak{m})$ be a Noetherian local ring of characteristic $p>0$ . We introduce and study $F$ -full and $F$ -anti-nilpotent singularities, both are defined in terms of the Frobenius actions on the local cohomology modules… read more here.
Keywords: frobenius actions; local cohomology; modules deformation; cohomology modules ... See more keywords
On the cofiniteness of generalized local cohomology modules with respect to the class of modules in dimension less than a fixed integer
Sign Up to like & getrecommendations! Published in 2021 at "Communications in Algebra"
DOI: 10.1080/00927872.2021.1897831
Abstract: Abstract Let n and t be non-negative integers, R a commutative Noetherian ring with an ideal of R, M and N finite R-modules, and X an arbitrary R-module. We prove that if is an R-module… read more here.
Keywords: modules respect; module; local cohomology; generalized local ... See more keywords
The first non-isomorphic local cohomology modules with respect to their ideals
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498818502304
Abstract: Let [Formula: see text] be ideals of a commutative Noetherian ring [Formula: see text] and [Formula: see text] be a finitely generated [Formula: see text]-module. By using filter regular sequences, we show that the infimum… read more here.
Keywords: local cohomology; see text; formula see; cohomology modules ... See more keywords
Some splitting theorems for local cohomology modules with respect to a pair of ideals
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498821500158
Abstract: Suppose that R is a commutative ring with identity, I, J are ideals of R, and let M be a finitely generated R-module. Let HI,Ji(−) be the ith local cohomology functor with respect to (I,J).… read more here.
Keywords: theorems local; splitting theorems; modules respect; local cohomology ... See more keywords
On the Finiteness Results of Generalized Local Cohomology Modules with Respect to a Pair of Ideals
Sign Up to like & getrecommendations! Published in 2017 at "Taiwanese Journal of Mathematics"
DOI: 10.11650/tjm/8112
Abstract: We study the finiteness of associated primes and support of the generalized local cohomology modules H I,J(M,N) concerning Grothendieck’s conjecture and Huneke’s question. The paper also discusses the relationship between the vanishing and the finiteness… read more here.
Keywords: finiteness results; local cohomology; results generalized; generalized local ... See more keywords
Cohomology of Modules Over $H$-categories and Co-$H$-categories
Sign Up to like & getrecommendations! Published in 2019 at "Canadian Journal of Mathematics"
DOI: 10.4153/s0008414x19000403
Abstract: Abstract Let $H$ be a Hopf algebra. We consider $H$-equivariant modules over a Hopf module category ${\mathcal{C}}$ as modules over the smash extension ${\mathcal{C}}\#H$. We construct Grothendieck spectral sequences for the cohomologies as well as… read more here.
Keywords: categories categories; modules categories; cohomology modules;