Results 11 to 20 of about 872,085 (220)
Mediterranean Journal of Mathematics, 2010 Let \(\tau\) be a hereditary torsion theory on the category of modules, and denote by \(\tau(M)\) the \(\tau\)-torsion submodule of a module \(M\). A submodule \(K\) of \(M\) is called \(\tau\)-large in \(M\) if for every submodule \(W\) of \(M\), \(K\cap W\subseteq\tau(M)\) implies \(W\subseteq\tau(M)\).
Mustafa Alkan, Secil Çeken
exaly +6 more sources
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
doaj +3 more sources
w-extending and pw-extending Modules
Tikrit Journal of Pure Science, 2023 In this work, we introduce and study two concepts of modules. The first one is a generalization of extending modules which is called a w extending module. And the second concept is called pw-extending module which is a stronger property than w-extending.
Habit K. Mohammad ali, Mohammad E. Dahsh
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Extending ROOT through Modules [PDF]
EPJ Web of Conferences, 2019 The ROOT software framework is foundational for the HEP ecosystem, providing multiple capabilities such as I/O, a C++ interpreter, GUI, and math libraries. It uses object-oriented concepts and build-time components to layer between them.
Shadura Oksana +2 more
doaj +3 more sources
Pseudo-Extending Modules And Related Concepts [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2012 : In this work, we introduce the concept of pseudo-extending modules as a generalization of extending modules. Many characterization, and properties of pseudo-extending module are obtained.
Hairan Ibrahim Saeed +1 more
doaj +3 more sources
Strongly Uniform Extending Modules [PDF]
Al-Mustansiriyah Journal of Science, 2018 In this paper, we introduced and studied the concept of strongly uniform extending modules, An R-module M is called strongly uniform extending (or M has (1-SC1) condition) if every uniform submodule of M is essential in a stable (fully invariant) direct ...
Saad Abdulkadhim Al-Saadi +1 more
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On Generalizations of Extending Modules [PDF]
Kyungpook mathematical journal, 2009 A module M is said to be SIP-extending if the intersection of every pair of direct summands is essential in a direct summand of M. SIP-extending modules are a proper generalization of both SIP-modules and extending modules. Every direct summand of an SIP-module is an SIP-module just as a direct summand of an extending module is extending.
Karabacak, F.
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Module Theory, Extending Modules and Generalizations
, 2016 Abstract Not ...
Tercan, A, Yücel, Canan Celep
core +6 more sources
Journal of Pure and Applied Algebra, 1995 AbstractAn R-module M is called ∑-extending if every coproduct of copies of M is extending, i.e. closed submodules are direct summands.Oshiro (1984) has shown that the ring R is ∑-extending as a left module if and only if the class of projective R->modules is closed under essential extensions.
Clark, John, Wisbauer, Robert
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Ibn Al-Haitham Journal for Pure and Applied Sciences, 2020 The -s-extending modules will be purpose of this paper, a module M is -s-extending if each submodule in M is essential in submodule has a supplement that is direct summand.
Saad A. Al-Saadi, Aya A. Al-Rubaye
doaj +3 more sources