Supplement t-extending modules
*Mahdi Saleh NayefCorresponding authormahdisaleh773@uomustansiriyah.edu.iqDepartment of Mathematics College of Education Mustansiryah UniversityDepartment of Mathematics College of Education Mustansiriyah UniversityBaghdad, IraqView full profile → , Zahra Moaed Abd Al-MajeedZahra.m.abdalmajeed@uotechnology.edu.iqDepartment of Chemical Engineering University of TechnologyDepartment of Chemical Engineering and Oil Pollution College of Chemical Engineering University of Technology Baghdad, IraqView full profile → , Zainab Raad Shakerzainab.r.shaker@uotechnology.edu.iqDepartment of Registration and Students Affairs University of TechnologyDepartment of Registration and Student Affairs University of Technology Baghdad, IraqView full profile → , Alaa Sabeeh Dawoodalaa.s.dawood@uotechnology.edu.iqDepartment of Civil Engineering University of TechnologyBaghdad, IraqView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 09 Nov 2023
- Published Online:
- 26 Aug 2024
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-1942
- Pages:
- 1591–1598
Abstract
Keywords
Subject Classifications
References
[1] S h. Asgari and A. Haghany, t-extending modules and t-baer modules. Com. Al gebra Vol. 39: pp.1605 – 1623, (2011).
[2] S h. Asgari, A. Haghany and Y.Tolooei, t-semi simple modules and t-semi simple rings. Comm. Algebra Vol. 41: pp.1882 – 1902, (2013).
[3] C. Nebiyev and N.Sokmez, Modules which Lie a supplement module, Int. J. of Computational Cognation, Vol. 8, No.2, (2010).
[4] N. V. Dung, D.V. Huynh, P. F. Smith and R. Wisbauer, Extending Modules. Pitman Res. Notes in Math. 313. Harlow: Long man, (1994).
[5] K. R. Goodearl Ring Theory, Non Singular Rings and Module, Mar. Dekker, Inc. New York and Basel, (1976).
[6] Hadi. M.A.I and Shyaa, D. F, Strongly t-semisimple modules and Strongly t-semisimple Rings. International Journal of Pure and Applied Mathematics, 15(1): 27-41, (2017).
[7] F. Kasch, Modules and Rings, Acad. Press, London, (1982).
[8] M. M. Tawfeeq, Supplement Extending-Modules, thesis, Collage of Science, University of Baghdad, (2015).
[9] Marrwa Abdallah Salih, Taghreed Hur Majeed and Mahdi Saleh Nayef, On duality of injective topological module, Journal of Interdisciplinary Mathematics, Vol. 25, pp:1409-1414, (2022).
[10] S. H. Mohamed and B. J. Muller, Continuous and Discrete Modules, London Math. Soc. Lecture Note Series 14, Cambridge Univ. press, (1990).
[11] Sepril Top, Totally Weak Supplemented Modules, thesis, Izmer Institute of Technology, (2007).
[12] Zeng, Q. Y, On generalized extending modules. J. Zhejiang Univ. Sci. A 8:939–945, (2007).
[13] Zahraa M. Abd Al-Majeed and Mahdi Saleh Nayef, On Supplement Rationally-Extending Modules (ICAPAST (2021), published Online in AIP Conf. Proc.2398, pp. 060073-1-060073-8 (2022); https://doi.org/ 10.1063/ 5.0093715.
[14] Zahraa M. Abd Al-Majeed and Mahdi Saleh Nayef, Tr-Rationally closed submodules and RCLS-modules, IOP Journal of Physics, (2021). doi:10.1088/1742- 6596/1963/1/012024.
[15] S.A. Abdul-Kareem, Small quasi principally injective S-acts, Journal of Interdisciplinary Mathematics, 25(2), 259-272 (2022). https://doi.org/10.1080/ 09720502.2021.1881221.




