Results 101 to 110 of about 632 (126)

On Noetherian Modules Over Minimax Abelian Groups

Ukrainian Mathematical Journal, 2002
An Abelian group \(G\) is called minimax if it has a finite normal series each of whose factors is either cyclic or quasi-cyclic. The main result of the paper is the following: Let \(k\) be a field, let \(A\) be a minimax subgroup of the multiplicative group \(k^*\), and let \(K\) be the subring of the field \(k\) generated by the subgroup \(A\).
Anatolii V Tushev
exaly   +3 more sources

On the Generalized Local Cohomology of Minimax Modules

Journal of Algebra and Its Applications, 2016
Let [Formula: see text] be a commutative Noetherian ring with identity and [Formula: see text] be an ideal of [Formula: see text]. Assume that [Formula: see text] is a finite [Formula: see text]-module and [Formula: see text] and [Formula: see text] are minimax [Formula: see text]-modules such that [Formula: see text].
Roshan-Shekalgourabi, H., Hassanzadeh-Lelekaami, D.   +1 more
exaly   +3 more sources

Finiteness Properties of Minimax and Coatomic Local Cohomology Modules

Archiv Der Mathematik, 2010
A module is called coatomic when each its proper submodule is contained in a maximal submodule. This paper deals with certain properties of local cohomology modules of coatomic type. Also, there is a condition for a module which is locally minimax to be a minimax module.
Moharram Aghapournahr
exaly   +3 more sources

On Minimax and Related Modules

Canadian Journal of Mathematics, 1992
AbstractA module M is called a minimax module, if it has a finitely generated submodule U such that M/U is Artinian. This paper investigates minimax modules and some generalized classes over commutative Noetherian rings. One of our main results is: M is minimax iff every decomposition of a homomorphic image of M is finite.From this we deduce that:- All
exaly   +2 more sources

Minimax Modules, Local Homology and Local Cohomology

International Journal of Mathematics, 2015
We show some results about local homology modules and local cohomology modules concerning Grothendieck’s conjecture and Huneke’s question. We also show some equivalent properties of [Formula: see text]-separated modules and of minimax local homology modules. By duality, we get some properties of Grothendieck’s local cohomology modules.
Tran Tuan Nam
exaly   +3 more sources

Modules Over Integer Group Rings of Locally Soluble Groups With Minimax Restriction

Journal of Mathematical Sciences, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
O Yu Dashkova
exaly   +2 more sources

On the minimaxness and coatomicness of local cohomology modules

Czechoslovak Mathematical Journal, 2021
The aim of this paper is to establish some analogues of the local-global principle for local cohomology in the context of minimax and \(\mathcal{C}\)-minimax modules. Let \(R\) be a commutative Noetherian ring with identity and \(I\) an ideal of \(R\). An \(R\)-module \(X\) is called \textit{coatomic} if any proper submodule of \(X\) is contained in a ...
Hatamkhani, Marzieh, Roshan-Shekalgourabi, Hajar   +1 more
openaire   +2 more sources

Finiteness Properties of Minimax and $ \mathfrak{a} $ -Minimax Generalized Local Cohomology Modules

Ukrainian Mathematical Journal, 2013
Let \(R\) be a Noetherian commutative ring with nonzero identity. Let \(I\) be an ideal of \(R\) and \(M, N\) two finitely generated \(R\)-modules. Recall that for any nonegative integer \(i,\) the \(i\)th generalized local cohomology module of \(M\) and \(N\) with respect to \(I\) is defined by \[ H_I^i(M,N):={\varinjlim}_n\mathrm{Ext}^i_R(M/I^nM,N). \
Kianezhad, A., Taherizadeh, A. J.
openaire   +1 more source