Nearly Endo-T-ABSO submodule and related concepts

Ali, Ali Esmaeil Abd; Hanoon, Wafaa H.

doi:10.47974/JIM-1622

Open Access Research Article

Nearly Endo-T-ABSO submodule and related concepts

^*Ali Esmaeil Abd AliCorresponding authormath842010@gmail.comDepartment of MathematicsCollege of EducationUniversity of KufaKufa, IraqView full profile → , Wafaa H. Hanoonwafaah.hannon@uokufa.edu.iqDepartment of MathematicsCollege of EducationUniversity of KufaKufa, Iraq0000-0002-3543-7814View full profile →

* Corresponding author · click or hover a name for details

pp. 1243–1252Vol. 26Issue 6September 2023DOI: 10.47974/JIM-1622XML

Published Online:: 30 Sep 2023
Article type:: Research Article
Language:: EN
Article no.:: JIM-1622
Pages:: 1243–1252

Abstract

In this paper, we discuss the notions Nearly-Endo prime submod, Nearly- EndoT-Absorbing submod, observations, and the traits and characteristics of Endo-T-ABSO and Jacobson radical in relation to one another. The relationship between EndoT-Absorbing submod, Endo prime submod, Nearly-End-prime submod, Nearly-EndoT-Absorbing submods were discovered. We are now introducing submods of several types. The ramifications of this study can be used to create new Nearly-EndoT-Absorbing submod, Nearly-Endo-prime submod based notions.

Keywords

T-Absorbing submod EndoT-ABSO submodule Nearly-Endo prime submodule Nearly-EndoT-ABSO submodule

Subject Classifications

Primary 16D10Secondary 16D80

Acknowledgements

FRH-P930H82

References

[1] A.A. Harfash., 2-Absorbing Submods (Modules) and Some of Their Generalizations, M.Sc. Thesis, University of Baghdad, (2015).
[2] A.H. Alwan, Maximal submod graph of a module, Journal of Discrete Mathematical Sciences and Cryptography, 24(7), 1941-1949 (2021). https://doi.org/10.1080/09720529.2021.1974652.
[3] A.Y. Darani., F. Sohielina., 2-Absorbing and Weakly 2-Absorbing Submods, Thai Journal of Mathematics, 9(3), 577-584, (2011).
[4] C.P. Lu, Prime Submods of Modules, Commentarii Mathematici Helvetici, Universitatis Sancti Pauli, 33 (1), 61-69 (1984). https://doi.org/10.14992/00010109.
[5] E.A. Naim, A.R. Mehdi, On gs-pseudo-injective modules, Journal of Discrete Mathematical Sciences and Cryptography, 25(5), 1535-1545 (2022). https://doi.org/10.1080/09720529.2022.2082724.
[6] F. Kasch., Modules And Rings, London New York, (1982).
[7] H.A Jubair, A.A.A. Zyarah, A.W. Kadhim, Nearly prime GR-submods of GR-modules, Journal of Discrete Mathematical Sciences and Cryptography, 25(6), 1923-1929 (2022). https://doi.org/10.1080/09720529.2022.2060918.
[8] L.S. Mahmood., Small Prime Modules and Small Prime Submods, Journal of Al-Nahrain University Science, 15(4), 191-199 (2012). https://anjs.edu.iq/index.php/anjs/article/view/624/560.
[9] N. V. Dung, D. V. Huynh, P. F. Smith, R. Wisbauer, Extending Modules, John Wily and Sons, Inc. New York (1994). https://doi.org/10.1201/9780203756331.
[10] R. Wisbauer, Foundations of module and ring theory, Gordon and Breach, Reading (1991).
[11] S.O. Dakheel, S-prime Submods and Some Related Concepts, M.Sc. Thesis, College of science, University of Baghdad, (2010).
[12] V. Camillo, Distributive modules, J. of Algebra, 36(1), 16-25, (1975). https://doi.org/10.1016/0021-8693(75)90151-9.
[13] W.A. Ali, N.S. Al Mothafar, Small prime and quasi-small prime modules, Journal of Discrete Mathematical Sciences and Cryptography, 24(7), 1967-1971, (2021). https://doi.org/10.1080/09720529.2021.1961889.
[14] M.R. Farahani, S. Jafari, S.A.Mohiuddine, M. Cancan.Intuitionistic Fuzzy Stability of Generalized Additive Set-Valued Functional Equation via Fixed Point Method. Mathematical Statistician and Engineering Applications, 71(3s3), 142-154. (2022). https://www.philstat.org.ph/index.php/MSEA/article/view/355.
[15] R.F. Kadam, K.M. Mohammed Al-Abrahemee. Neuro-fuzzy system for solving fuzzy singular perturbation problems. Journal of Interdisciplinary Mathematics. 25(5), 1509-1524, 2022. https://doi.org/10.1080/09720502.2022.2079229.
[16] D.E. Abdulrasool, A.N. Alkiffai. Population growth equation by fuzzy common integral transforms. Journal of Interdisciplinary Mathematics. 25(6), 2022,1909-1918. https://doi.org/10.1080/09720502.2022.2095960.
[17] D.E. Abdulrasool, A.N. Alkiffai. Investigation of A Fuzzy Integral Equation by Fuzzy Integral Transforms. Mathematical Statistician and Engineering Applications, 71(3s3), 73-80. (2022). https://www.philstat.org.ph/index.php/MSEA/article/view/349.
[18] A. Alsinai, H.M.U. Rehman, Y. Manzoor, M. Cancan, Z. Taş, M.R. Farahani, Sharp upper bounds on forgotten and SK indices of cactus graph, Journal of Discrete Mathematical Sciences and Cryptography. 2022, 1-22. https://doi.org/10.1080/09720529.2022.2027605.

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