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Open Access Research Article

Left generalized homoderivations in 3-prime near-rings

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pp. 17–27Vol. 28Issue 1February 2025DOI: 10.47974/JDMSC-1639 Crossmark XML
Received:
06 Oct 2021
Accepted:
06 Apr 2022
Published Online:
28 Feb 2025
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-1639
Pages:
17–27

Abstract

In this paper, the structure of 3-prime near-rings with left generalized homoderivation satisfying certain conditions on a semigroup ideal will be investigated. After that, we’ll provide examples to explain why the hypotheses used in the various results are necessary.

Keywords

Subject Classifications

16N6016W2516Y30

References

[1] H. E. Bell, “On derivations in near-rings, II,” in Nearrings, Nearfields and K-loops, Springer, Dordrecht, pp. 191-197 (1997).
[2] A. Boua, A. Ali, and U. I. Huque, “Serval algebraic identities in 3-prime near-rings,” Kragujevac J. Math., vol. 42, no. 2, pp. 249-258 (2018).
[3] A. Boua, “Homoderivations and Jordan right ideals in 3-prime near-rings,” in AIP Conference Proceedings, vol. 2074, no. 1, p. 020010, AIP Publishing LLC, Feb (2019).
[4] A. Boua and E. Farhan, “Generalized homoderivations on near-rings,” Indian J. Math., vol. 63, no. 2, pp. 229-242 (2021).
[5] M. M. Hasnain and M. R. Khan, “On prime near-rings with derivations,” J. Discrete Math. Sci. Cryptogr., vol. 20, no. 3, pp. 695-702 (2017), DOI: 10.1080/09720529.2016.1187956.
[6] E. M. Khazil, “Orthogonal generalized higher derivations in semi-prime gamma near-rings,” J. Discrete Math. Sci. Cryptogr., vol. 23, no. 5, pp. 1009-1020 (2020), DOI: 10.1080/09720529.2020.1723933.
[7] S. Mouhssine and A. Boua, “Homoderivations and semigroup ideals in 3-prime near-rings,” Algebraic Structures and Their Applications, vol. 8, no. 2, pp. 177-194 (2021), DOI: 10.29252/as.2021.2110.

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