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Artinianness of formal local cohomology modules [PDF]

open access: yesCommentationes Mathematicae Universitatis Carolinae, 2019
Summary: Let \(\mathfrak{a}\) be an ideal of Noetherian local ring \((R,\mathfrak{m})\) and \(M\) a finitely generated \(R\)-module of dimension \(d\). In this paper we investigate the Artinianness of formal local cohomology modules under certain conditions on the local cohomology modules with respect to \(\mathfrak{m}\).
Rezaei, Shahram
openaire   +3 more sources

The group of endotrivial modules in the normal case. [PDF]

open access: yes, 2007
The group of endotrivial modules has recently been determined for a finite group having a normal Sylow $p$-subgroup. In this paper, we give and compare three different presentations of a torsion-free subgroup of maximal rank of the group of endotrivial ...
Mazza, Nadia
core   +5 more sources

SERRE SUBCATEGORY, LOCAL HOMOLOGY AND LOCAL COHOMOLOGY [PDF]

open access: yesJournal 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]

open access: yesJournal 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

The connective K theory of semidihedral groups [PDF]

open access: yes, 2010
The real connective K-homology of finite groups ko¤(BG), plays a big role in the Gromov-Lawson-Rosenberg (GLR) conjecture. In order to compute them, we can calculate complex connective K-cohomology, ku¤(BG), first and then follow by computing complex ...
Rodtes, Kijti
core   +7 more sources

The Support of Local Cohomology Modules [PDF]

open access: yesInternational Mathematics Research Notices, 2017
We describe the support of $F$-finite $F$-modules over polynomial rings $R$ of prime characteristic. Our description yields an algorithm to compute the support of such modules; the complexity of our algorithm is also analyzed. To the best of our knowledge, this is the first algorithm to avoid extensive use of Gröbner bases and hence of substantial ...
Katzman, M., Zhang, W.
openaire   +3 more sources

FILTER REGULAR SEQUENCES AND LOCAL COHOMOLOGY MODULES [PDF]

open access: yesJournal of Algebraic Systems, 2020
Let R be a commutative Noetherian ring. In this paper we consider some relations between filter regular sequence,regular sequence and system of parameters over R-modules.
J. Azami
doaj   +1 more source

Local Cohomology Modules and their Properties

open access: yesUkrainian Mathematical Journal, 2021
UDC 512.5 Let be a complete Noetherian local ring and let be a generalized Cohen-Macaulay -module of dimension We show thatwhere and is the ideal transform functor. Also, assuming that is a proper ideal of a local ring , we obtain some results on the finiteness of Bass numbers, cofinitness, and cominimaxness of local cohomology modules with ...
Azami, J., Hasanzad, M.
openaire   +1 more source

Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup. [PDF]

open access: yes, 2013
Let G be a finite group with a Sylow 2-subgroup P which is either quaternion or semi-dihedral. Let k be an algebraically closed field of characteristic 2.
Mazza, Nadia   +2 more
core   +4 more sources

Endotrivial modules in the cyclic case. [PDF]

open access: yes, 2007
The purpose of this note is to determine all endotrivial modules in prime characteristic~$p$, for a finite group having a cyclic Sylow $p$-subgroup.
Mazza, Nadia, Thevenaz, Jacques
core   +6 more sources

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