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Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

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Open Access Research Article

Almost self-projective semimodules

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pp. 1857–1864Vol. 26Issue 7October 2023DOI: 10.47974/JDMSC-1675 Crossmark XML
Received:
04 Oct 2022
Published Online:
30 Oct 2023
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-1675
Pages:
1857–1864

Abstract

In this paper, the concept of almost self-projective semimodule has been introduced as a generalization of almost projective, and some characterization of this notion has been studied. A semimodule W is called almost self-projective if W is almost W-projective semimodule. Some properties and results of this concept have been obtained. 

Keywords

Subject Classifications

Primary 16Y60Secondary 16Yxx

References

[1] Harada M. and Tozaki A., “Almost M-Projectives and Nakayama rings”, J. Algebra, vo.122, no. 2, pp. 447-474 (1989).
[2] Baba Y. and Harada M., “On almost M-projectives and almost  M- injectives”, Tsukuba J. Math, vol. 14,no. 1, pp.53-69 (1990).
[3] Amouzegar T., “On two Generalizations of semi-projective modules: SGQ-projective and \pi-semi-Projective”, Journal of Algebra and Related Topics, vol. 4, no. 2, , pp. 19-29 (2016).
[4] Orhan N., “On Almost Projective Modules”, axioms MDPI, vol. 10, no, 1 (2021).
[5] Huda M. Althani, “Projective semimodules”, African J. of Mathematics and Computer Sceince, vol.4, no. 9, pp. 249-299 (2011).
[6] Huda M. Althani, “Characterization of  Projective and k-Projective Semimodules”, IJMMS, vol.32, no. 7, pp.439-448 (2002).
[7] Muna M. and Asaad M., “Supplemented and \pi-projective Semimodules”, Iraqi Journal of Science, vol. 61, no. 6, pp. 1479-1487 (2020).
[8] Khitam S. and Asaad M., “Almost Projective Semimodules”, Baghdad Sci. J. (2023).
[9] Tsiba JR, “On generators and Projective Semimodules”, Int. J Algebr., vol. 4, no. 24, pp. 1153-1167 (2010).
[10] Khitam S. and Asaad M., “ Principally Quasi-Injective Semimodules”, Baghdad Sci. J., vol. 16, no. 4 (2019).
[11] Zainab A. and Asaad M., “On P- duo Semimodules”, J. of Babylon, Pure and Applied Science, vol. 26, no. 4, 2018.
[12] Reza E. A., Shahabaddin E. A. and Sattar M., “public key cryptography using semigroup actions and semirings” J. of Discrete Math. Sci. and Cryp., vol. 11, no. 4 (2003).
[13] Yaqoub A.,  Muhammad A. and Liaqat A., “On Utumis quotients and extended centroid of weakly right cancellative semirings” J. of Discrete Math. Sci. and Cryp., vol. 23, no. 6 (2020).

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