Results 11 to 20 of about 5,350,013 (268)

Regularity of 𝐅𝐈-modules and local cohomology [PDF]

Proceedings of the American Mathematical Society, 2017
We resolve a conjecture of Ramos and Li that relates the regularity of an F I \mathbf {FI} -module to its local cohomology groups. This is an analogue of the familiar relationship between regularity and local cohomology in commutative ...
Rohit Nagpal, Steven V. Sam, Andrew Snowden   +2 more
semanticscholar   +2 more sources

Local Cohomology [PDF]

, 1998
This second edition of a successful graduate text provides a careful and detailed algebraic introduction to Grothendieck's local cohomology theory, including in multi-graded situations, and provides many illustrations of the theory in commutative algebra and in the geometry of quasi-affine and quasi-projective varieties.
Brodmann, M, Sharp, R Y
core   +5 more sources

ON THE FINITENESS OF FORMAL LOCAL COHOMOLOGY MODULES [PDF]

Journal of Algebraic Systems, 2023
Let a be an ideal of local ring (R;m) and M a nitely generated R-module. Inthis paper, we prove some results concerning niteness and minimaxness of formal local cohomologymodules.
Shahram Rezaei, Mahbobeh Gasemi-Kalemasihi   +1 more
doaj   +1 more source

On the Properties of Formal Local Cohomology Modules [PDF]

Journal of Mahani Mathematical Research, 2023
Let  $(R,m)$ be a commutative Noetherian local ring, $a$ an ideal of $R$. Let $t\in\Bbb N_0$ be an integer and $M$ a finitely generated $R$-module such that the $R$-module $\mathfrak{F}^i_{\mathfrak{a}}(M)$ is $\mathfrak{a}$-cominimax for all ...
Behruz Sadeqi
doaj   +1 more source

TOP LOCAL COHOMOLOGY AND TOP FORMAL LOCAL COHOMOLOGY MODULES WITH SPECIFIED ATTACHED PRIMES [PDF]

Journal of Algebraic Systems, 2021
Let (R,m) be a Noetherian local ring, M be a finitely generated R-module of dimension n and a be an ideal of R. In this paper, generalizing the main results of Dibaei and Jafari [3] and Rezaei [8], we will show that if T is a subset of AsshR M, then ...
A. R. Nazari, F. Rastgoo
doaj   +1 more source

Local Cohomology—An Invitation [PDF]

, 2021
This article is part introduction and part survey to the mathematical area centered around local cohomology.
Walther, Uli, Zhang, Wenliang
openaire   +2 more sources

SERRE SUBCATEGORY, LOCAL HOMOLOGY AND LOCAL COHOMOLOGY [PDF]

Journal of Algebraic Systems, 2020
We show some results about local homology modules and local cohomology modules concerning to being in a serre sub category of the category of R-modules. Also for an ideal I of R we define the concept of CI condition on a serre category, which seems dual ...
S. O. Faramarzi, Z. Barghsouz
doaj   +1 more source

ANNIHILATOR OF LOCAL COHOMOLOGY MODULES UNDER THE RING EXTENSION R⊂R[X] [PDF]

Journal of Algebraic Systems, 2020
Let R be a commutative Noetherian ring, I an ideal of R and M a non-zero R-module. In this paper we calculate the extension of annihilator of local cohomology modules H^t_I(M), t≥0, under the ring extension R⊂R[X] (resp. R⊂R[[X]]).
M. Seidali Samani, K. Bahmanpour
doaj   +1 more source

Nilpotence of Frobenius actions on local cohomology and Frobenius closure of ideals [PDF]

Journal of Algebra, 2018
The study of Frobenius actions on local cohomology modules over a local ring of prime characteristic has interesting connections with the theory of tight closure.
Thomas Polstra, Pham Hung Quy
semanticscholar   +1 more source

Iterated local cohomology groups and Lyubeznik numbers for determinantal rings [PDF]

Algebra & Number Theory, 2018
We give an explicit recipe for determining iterated local cohomology groups with support in ideals of minors of a generic matrix in characteristic zero, expressing them as direct sums of indecomposable D-modules.
A. C. LHorincz, Claudiu Raicu
semanticscholar   +1 more source