Results 1 to 10 of about 259,662 (160)
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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Extended T-System of Type G2 [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We prove a family of 3-term relations in the Grothendieck ring of the category of finite-dimensional modules over the affine quantum algebra of type G2 extending the celebrated T-system relations of type G2.
Jian-Rong Li, Evgeny Mukhin
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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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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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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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Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler, 2021 In this note we investigate modules with the Ads and the SIP-extending properties. Besides many results obtained, we show that the class of SA-extending modules is not closed under direct sums. Further we deal with direct summands of an SA-extending module. We give necessary and sufficient conditions for a module to be an SA-extending. It has been also
Figen TAKIL MUTLU, Edanur TAŞTAN
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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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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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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.
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Strongly Weakly Supplement Extending Modules
Al-Mustansiriyah Journal of Science, 2020 In this paper, a class of modules which are proper strong concept of weakly supplement extending modules will be introduced and studied. We call a module M is strongly weakly supplement extending, if each submodule of M is essential in fully invariant ...
Aya Adnan Musa, Saad A. Al-Saadi
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