Stable Semisimple Modules, Stable t- Semisimple Modules and Strongly Stable t-Semisimple Modules

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Published: Sep 1, 2021
DOI: https://doi.org/10.21123/bsj.2021.18.3.0547
Keywords:
Fully invariant submodules, Fully stable modules, Semisimple modules, Stable injective modules, Stable submodules, t-essential submodules, t-semisimple modules,

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Inaam Mohammed Ali Hadi
Department of Mathematics, College of Education for Pure Science/ Ibn Al-Haitham, University of Baghdad, Baghdad, Iraq.

Abstract

        Throughout this paper, three concepts are introduced namely stable semisimple modules, stable t-semisimple modules and strongly stable t-semisimple. Many features co-related with these concepts are presented. Also many connections between these concepts are given. Moreover several relationships between these classes of modules and other co-related classes and other related concepts are introduced.

Received 23/5/2019,  Accepted 1/6/2020,  Published Online First  21/2/2021

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How to Cite
1.
Hadi IMA. Stable Semisimple Modules, Stable t- Semisimple Modules and Strongly Stable t-Semisimple Modules . Baghdad Sci.J [Internet]. 2021 Sep. 1 [cited 2023 Dec. 8];18(3):0547. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3421
Issue
Vol. 18 No. 3 (2021): Issue 3
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article
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This work is licensed under a Creative Commons Attribution 4.0 International License.

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References

Goodearl KR. Ring theory and nonsingular Rings and Modules. Marcel Dekker, In C.New York and Basel. 1976.

Asgari S, Haghany A, Tolooei Y. T-semisimple Modules and T-semisimple Rings. Comm. in Alg. 2013; 41: 1882-1902.

Hadi IMA, Shyaa FD. strongly T-Semisimple Modules and strongly T-semisimple Rings. Int. J. Pure Appl. Math. 2017; 115(1): 27-41.

Hadi IMA, Shyaa FD. FI-semisimple, FI-t-semisimple and strongly FI-t-semisimple Modules. Int. J. Pure Appl. Math. 2017;115(2): 285-300.

Abbas MS. On Fully stable Modules. Ph.D thesis, University of Baghdad,1997.

Özcan AC, HARMANCI A, Smith PF. Duo modules. Glasg. MaTheorem J. 2006 Sep;48(3):533-45.

Al-Saadi SA. S-Extending Modules and Related concepts. Ph.D thesis, Al-Mustansirya University, 2007.

Hadi IMA, Shyaa FD. T-stable extending and strongly t-stable extending. Iraqi j. sci. 2020; 61(2): 401-408.

Shyaa FD. A study of Modules related with T-semisimple Modules, Ph.D. thesis, University of Baghdad, 2018.

Ebrahimi SA, Dolati SPH, Khoramdel M. strongly t- extending Modules and strongly t-Baer Modules. Int.Elec. J. of alg.. 2016; 2: 86-99.