Results 1 to 10 of about 632 (126)

On the structure of some minimax-antifinitary modules

Karpatsʹkì Matematičnì Publìkacìï, 2015
Let  $R$  be a ring and $G$ a group. An  $R$-module $A$ is said to be {\it minimax} if $A$ includes a noetherian submodule $B$ such that  $A/B$  is artinian.
V.A. Chupordia
doaj   +6 more sources

FINITENESS PROPERTIES OF LOCALE COHOMOLOGY MODULES FOR (I;J)- MINIMAX MODULES [PDF]

Journal of Mahani Mathematical Research, 2018
. Let R be a commutative noetherian ring, I and J are two ideals of R. Inthis paper we introduce the concept of (I;J)- minimax R- module, and it is shown thatif M is an (I;J)- minimax R- module and t a non-negative integer such that HiI;J(M) is(I;J ...
Javad Tayyebi
doaj   +2 more sources

On the Local Cohomology of Minimax Modules [PDF]

Bulletin of the Korean Mathematical Society, 2011
Abstract. Let R be a commutative Noetherian ring, a an ideal of R , and M a minimax R -module. We prove that the local cohomology modules H j a ( M ) are a-cominimax; that is, Ext iR ( R= a ;H j a ( M )) is minimax for all i and j in the following cases: (a) dim R= a = 1; (b) cd(a) = 1, where cd isthe cohomological dimension of a in R ; (c) dim R 2 ...
Amir Mafi
exaly   +2 more sources

A Minimax Theorem for L-0-Valued Functions on Random Normed Modules [PDF]

Journal of Function Spaces and Applications, 2013
We generalize the well-known minimax theorems to L¯0-valued functions on random normed modules. We first give some basic properties of an L0-valued lower semicontinuous function on a random normed module under the two kinds of topologies, namely, the (ε ...
Shien Zhao, Yuan Zhao
doaj   +4 more sources

Modules With Minimax Cousin Cohomologies [PDF]

Algebra and Discrete Mathematics, 2020
Let R be a commutative Noetherian ring with non-zero identity and let X be an arbitrary R-module. In this paper, we show that if all the cohomology modules of the Cousin complex for X are minimax, then the following hold for any prime ideal p of R and for every integer n less than X, the height of p: (i) the nth Bass number of X with respect to p is ...
exaly   +3 more sources

Some Results on the Local Cohomology of Minimax Modules [PDF]

Czechoslovak Mathematical Journal, 2014
Let \(R\) be a commutative Noetherian ring with identity. Let \(I\) be an ideal of \(R\) and \(X\) an \(R\)-module. This paper studies the finiteness properties of the local cohomology modules \[ H_I^i(X):=\underset {n} {\varinjlim}\text{Ext}^i_R\left(\frac {R}{I^n},X\right);\;\;i\in \mathbb {N}_0. \] Recall that \(X\) is said to be \textit{minimax} if
Ahmad Abbasi
exaly   +2 more sources

Finiteness Properties of Generalized Local Cohomology Modules for Minimax Modules

Cogent Mathematics, 2017
Let R be a commutative Noetherian ring, I an ideal of R, M be a finitely generated R-module and t be a non-negative integer. In this paper, we introduce the concept of I, M-minimax R-modules. We show that HomR(R/I,HIt(M,N)/K) is I,M-minimax, for all I,M-minimax submodules K of HIt(M,N), whenever N and HI0(M), HI1(M),⋯,HIt-1(M) are I, M-minimax R ...
Sh. Payrovi, I. Khalili-Gorji, Z. Rahimi-Molaei   +2 more
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On the Weak Artinianness and Minimax Generalized Local Cohomology Modules

Bulletin of the Korean Mathematical Society, 2013
Abstract. Let R be a commutative Noetherian ring, I an ideal of R,M and N two R-modules. We characterize the least integer i such thatH iI (M,N) is not weakly Artinian by using the notion of weakly filterregular sequences. Also, a local-global principle for minimax generalizedlocal cohomology modules is shown and the result generalizes the corre ...
exaly   +3 more sources

On Krull Dimension of Modules Over Group Rings of Minimax Abelian Groups

Journal of Algebra and Its Applications
In this paper, we obtained some estimations of Krull dimension of modules over group rings of minimax abelian groups. We also consider relations between the condition of existing of small deviation for normal subgroups of a group and some previously studied chain conditions.
Anatolii V Tushev
exaly   +3 more sources

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