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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 \(W\subseteq\tau(M)\).
Secil Çeken +2 more
exaly +6 more sources
Module Theory, Extending Modules and Generalizations
Frontiers in Mathematics, 2016 Abstract Not ...
Adnan Tercan
exaly +5 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
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 +2 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
doaj +2 more sources
weakly supplement extending modules
Al-Mustansiriyah Journal of Science, 2020 In this paper, the extending property of modules is generalized by using weakly supplement submodules. We call a module M is weakly supplement extending if each submodule of M is essential in a weakly supplement submodule of M.
Saad A. Al-Saadi, aya adnan musa
doaj +2 more sources
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
Polytechnic and design, 2015 The purpose of this article is to show how to extend PHP and build modules. Since PHP is built mostly with C, one must be familiar with C or at least with some programming constructs like variables, loops, structures, unions, macros etc. PHP modules are built when standard PHP abilities doesn’t fit developer’s needs and when a developer wants to create
Lozić, Davor, Šimec, Alen
core +7 more sources
On $\tau$-extending modules [PDF]
Commentationes Mathematicae Universitatis Carolinae, 2016 Summary: In this paper, we introduce the concept of \(\tau\)-extending modules by \(\tau\)-rational submodules and study some properties of such modules. It is shown that the set of all \(\tau\)-rational left ideals of \(_RR\) is a Gabriel filter. An \(R\)-module \(M\) is called \(\tau\)-extending if every submodule of \(M\) is \(\tau\)-rational in a ...
Talebi, Y., Mohammadi, R.
openaire +2 more sources