Results 1 to 10 of about 91 (70)
On the Structure of Some Minimax-Antifinitary Modules
Carpathian Mathematical Publications, 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. The author study a $\mathbb{Z}_{p^\infty}G$-module $A$ such that $A/C_A(H)$ is minimax as a $\mathbb{Z}_{p^\infty}$-module for every proper not finitely generated subgroup $H$.
V.A. Chupordia
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FINITENESS PROPERTIES OF LOCALE COHOMOLOGY MODULES FOR (I;J)- MINIMAX MODULES [PDF]
Journal of Mahani Mathematical Research, 2018 ABSTRACT. 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)- minimax for all ...
Javad Tayyebi
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On some commutative invariants of modules over minimax nilpotent groups
Reports of the National Academy of Sciences of Ukraine, 2022 In the paper we introduce a finite system of invariants for modules over minimax nilpotent groups which consists of classes of equivalent prime ideals of the group algebra of an Abelian minimax group. In particuly, introduced system of invariants allows to study the structure of a minimax nilpotent group N acted by a group of operators G such that N ...
A.V. Tushev
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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
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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,λ)-topology and the locally L0-convex topology.
Shien Zhao, Yuan Zhao
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FALTINGS’ LOCAL-GLOBAL PRINCIPLE FOR THE MINIMAXNESS OF LOCAL COHOMOLOGY MODULES DEFINED BY A SYSTEM OF IDEALS [PDF]
Journal of Algebraic Systems, 2022 Let R be a commutative Noetherian ring with nonzero identity. Let φ be a system of ideals of R and let M, N two finitely generated R-modules. We prove that there are local- global principles for the finiteness and minimaxness of generalized local ...
DehghaniZadeh, F., Hajikarimi, A.R.
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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 ...
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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
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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 +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 ...
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