On semi-continuous and quasi-semi-continuous modules
*Zaid Abdulaziz AbdulrazzaqCorresponding authorzdors72@mu.edu.iqDepartment of Mathematics and Computer Applications College of Science Al-Muthanna UniversitySamawah, IraqView full profile → , Mahdi Saleh Nayefmahdisaleh773@uomustansiriyah.edu.iqDepartment of Mathematics College of Education Mustensiriyah UniversityDepartment of Mathematics College of Education Mustansiriyah UniversityBaghdad, IraqView full profile → , Mohamed Hbaibmohamed.hbaib@fss.usf.tnDepartment of Mathematics College of Science Safx University Safx, TunisiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 10 Jul 2024
- Published Online:
- 26 Jun 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-2031
- Pages:
- 1051–1058
Abstract
Keywords
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References
[1] M. A. Salih, T. H. Majeed, and M. S. Nayef, “On duality of injective topological module,” J. Interdiscip. Math., vol. 25, no. 5, pp. 1409–1414 (2022).
[2] M. R. Abbas, St-Closed Submodule and Semi-Extending Modules, M.Sc. thesis, College of Science for Women, University of Baghdad (2015).
[3] M. A. Ahmed and S. O. Dakheen, “S-maximal submodules,” J. Baghdad Sci., vol. 12, no. 1, pp. 210–220 (2015).
[4] W. Anderson and K. R. Fuller, Rings and Categories of Modules, 2nd ed., Graduate Texts in Mathematics, vol. 13, Berlin, Germany: Springer-Verlag (1992).
[5] M. Behboodi, O. A. S. Karamzadeh, and H. Koohy, “Modules whose certain submodule are prime,” Vietnam J. Math., vol. 32, no. 3, pp. 303–317 (2004).
[6] H. Q. Dinh, “A note on pseudo-injective modules,” Commun. Algebra, vol. 33, pp. 361–369 (2005).
[7] N. V. Dung, D. V. Huynh, P. F. Smith, and R. Wisbauer, Extending Modules, Pitman Research Notes in Mathematics Series, Harlow, UK: Longman (1994).
[8] K. R. Goodearl, Ring Theory: Nonsingular Rings and Modules, New York, NY, USA: Marcel Dekker Inc. (1976).
[9] S. K. Jain and S. Singh, “Quasi-injective and pseudo-injective modules,” Canad. Math. Bull., vol. 18, pp. 359–366 (1975).
[10] F. Kasch, Modules and Rings, London, UK: Academic Press Inc. (1982). (English translation)
[11] A. S. Mijbass and N. K. Abdullah, “Semi-essential submodule and semi-uniform modules,” J. Kirkuk Univ. Sci. Stud., vol. 4, no. 1, pp. 48–58 (2009).
[12] S. A. Saymeh, “On prime R-submodules,” Univ. Nac. Tucumán Rev. Ser. A, vol. 29, pp. 129–136 (1979).
[13] S. H. Mohamed and B. J. Müller, Continuous and Discrete Modules, London Math. Soc. Lecture Note Series, vol. 14, Cambridge, UK: Cambridge Univ. Press (1990).
[14] M. S. Nayef and Z. A. Fadel, “Goldie rationally extending modules,” Iraqi J. Sci., vol. 64, no. 11, pp. 5778–5785 (2023).
[15] L. H. Rowen, Ring Theory, San Diego, CA, USA: Academic Press Inc. (1991).
[16] P. F. Smith and A. Tercan, “Continuous and quasi-continuous modules,” Houston Math. J., vol. 18, pp. 339–348 (1992).
[17] Z. M. AbdAl-Majeed and M. S. Nayef, “On supplement rationally-extending modules,” AIP Conf. Proc., vol. 2398, pp. 060073-1–060073-8 (2022). [Online]. Available: https://doi.org/10.1063/5.0066725
[18] S. A. Abdul-Karreem and A. A. Abdulkarreem, “∩-large pseudo injective acts,” J. Discrete Math. Sci. Cryptogr., vol. 25, no. 2, pp. 511–522 (2022).
[19] M. M. Abbood, H. H. Ebrahim, A. Al-Fayadh, and A. J. Obaid, “Measure defined on Γ-algebra and some of their generalizations,” J. Interdiscip. Math., vol. 26, no. 5, pp. 821–827 (2023), doi: 10.47974/JIM-1502.
