Results 11 to 20 of about 951,346 (275)
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 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. +2 more
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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
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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
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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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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
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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
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Rings whose modules are direct sums of extending modules [PDF]
Proceedings of the American Mathematical Society, 2009 In the main result of the paper the author shows for a ring \(R\) that every right \(R\)-module is a direct sum of extending modules if and only if \(R\) has finite type and right colocal type. Moreover, in this case \(R\) is Artinian and right serial, and every right \(R\)-module is a direct sum of uniform modules (Theorem 1).
ER, NOYAN FEVZİ
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On generalized FI-extending modules
, 2020 Summary: A module \(M\) is called \textit{FI-extending} if every fully invariant submodule of \(M\) is essential in a direct summand of \(M\). In this work, we define a module \(M\) to be \textit{generalized FI-extending (GFI-extending)} if for any fully invariant submodule \(N\) of \(M\), there exists a direct summand \(D\) of \(M\) such that \(N \leq
Yücel, Canan Celep
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