C-Coretractable and Strongly C-Coretractable Modules

Hadi, Inaam Mohammed Ali; Al-Aeashi, Shukur Neamah

doi:10.22401/anjs.00.2.10

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Examples and Remarks(2)1

Introduction the Notion Of Coretractable1

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2021

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Cited by 3 publications

(2 citation statements)

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“…Where "A module M is called simple closed if M has only 2 closed submodules, which are 0 and M" [7]. (5) Recall that "A module M is mono-C-coretractable module if for each proper closed submodule N of M, there exists a monomorphism f from M/N into M" [8] Every mono-C-coretractable module implies fully c-stable.…”

Section: Examples and Remarks(2)mentioning

confidence: 99%

On Fully Closed Stable Modules

Al-Aeashi

Davvaz

2021

Walailak J Sci & Tech

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In this paper, we studied the notion of the fully closed stable module and identified some basic properties of this notion. We also investigated some concepts which are related to this module. In addition, the notion of CL-duo and fully closed stable modules were also studied. HIGHLIGHTS Studying the concept of fully closed stable modules Connect two concepts with important algebraic properties Giving new results to related concepts such as duo module closed multiplication module and closed monomorphism coretractable module

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Section: Examples and Remarks(2)mentioning

confidence: 99%

On Fully Closed Stable Modules

Al-Aeashi

Davvaz

2021

Walailak J Sci & Tech

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“…module appeared in [6]. However Amini studied this notion in [4], Hadi and Al-aeashi in [10], [11], [12], [13] and [14]. In this paper, we review coretractable modules and many of its basic properties.…”

Section: Introduction the Notion Of Coretractablementioning

confidence: 99%

Some Results About Coretractable Modules

Hadi¹,

Al-Aeashi²

2017

J. Al-Qadisiyah Comp. Sci. Math.

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Throughout this paper, all rings have identities and all modules are unitary right modules. Let R be a ring and M an R-module. A module M is called coretractable if for each proper submodule N of M, there exists a nonzero homomorphism f from M/N into M. Our concern in this paper is to develop basic properties of coretractable modules and to look for any relations between coretractable modules and other classes of modules.

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