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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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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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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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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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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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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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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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Extending OCaml's 'open' [PDF]
Electronic Proceedings in Theoretical Computer Science, 2019 We propose a harmonious extension of OCaml's 'open' construct. OCaml's existing construct 'open M' imports the names exported by the module 'M' into the current scope. At present 'M' is required to be the path to a module.
Runhang Li, Jeremy Yallop
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Micromachines, 2023 Aiming at the problems of low machining accuracy and more serious tool wear in the traditional diamond grinding machining (DGM) microstructure of hard and brittle materials, this paper proposes high-speed rotary ultrasonic machining (HRUM) technology and
Shanhua Zhang +5 more
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