Results 11 to 20 of about 443,027 (142)
BILINEAR MAPS ON ARTINIAN MODULES [PDF]
Journal of Algebra and Its Applications, 2012 It is shown that if a bilinear map f : A × B → C of modules over a commutative ring k is nondegenerate (i.e. if no nonzero element of A annihilates all of B, and vice versa), and A and B are Artinian, then A and B are of finite length. Some consequences are noted.
BERGMAN, GEORGE M
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The Relationships between Relatively Cancellation Modules and Certain Types of Modules [PDF]
مجلة بغداد للعلوم, 2011 Let R be a commutative ring with identity and M be unitary (left) R-module. The principal aim of this paper is to study the relationships between relatively cancellation module and multiplication modules, pure submodules and Noetherian (Artinian) modules.
Baghdad Science Journal
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On the structure of artinian-by-(finite rank) modules over generalized soluble groups
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Matematika, 2014 Let R be a ring and G a group. An R-module A is said to be artinian-by-(finite rank), if $\mathrm{Tor}_R(A)$ is artinian and $A/\mathrm{Tor}_R(A)$ has finite R-rank.
V.A. Chupordia
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Eventually semisimple weak $FI$-extending modules [PDF]
Mathematica Bohemica, 2023 In this article, we study modules with the weak $FI$-extending property. We prove that if $M$ satisfies weak $FI$-extending, pseudo duo, $C_3$ properties and $M/{\rm Soc} M$ has finite uniform dimension then $M$ decomposes into a direct sum of a ...
Figen Takil Mutlu +2 more
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On formal local homology modules [PDF]
Journal of Hyperstructures, 2015 Throughout R is a commutative Noetherian ring and a an ideal of R. In this paper we study formal homology modules of Artinian R-modules. We obtain an expression of the formal homology in terms of a certain local homology module.
M.H. Bijan-Zadeh
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Fully Fuzzy Visible Modules With Other Related Concepts
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 In previous our research, the concepts of visible submodules and fully visible modules were introduced, and then these two concepts were fuzzified to fuzzy visible submodules and fully fuzzy.
Sajda Kadhum Mohammed +1 more
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ON GENERALIZATIONS OF LOCALLY ARTINIAN SUPPLEMENTED MODULES
, 2021 The aim of this paper is to investigate generalizations of locally artinian supplemented modules in module theory, namely locally artinian radical supplemented modules and strongly locally artinian radical supplemented modules.
Burcu NİŞANCI TÜRKMEN +1 more
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CHARACTERIZATION THEOREMS OF S-ARTINIAN MODULES
, 2021 A module X over a commutative ring A is called S-Artinian, where S is a given multiplicatively closed subset of A, if every descending chain of sub-modules of X is S-stationary.
Unsal Tekir +3 more
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Tight closure in Artinian modules.
, 2003 This thesis deals with tight closure theory for modules that are not necessarily finitely generated, including Artinian modules. We develop the concepts of general test elements and the general test ideal, which extend the ideas of test element and the ...
Elitzur, Haggai
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Pathological modules over tame rings [PDF]
, 1976 Brenner S, Ringel CM. Pathological modules over tame rings. Journal of the London Mathematical Society.
Ringel, Claus Michael, Brenner, Sheila
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