Notes on rings and near-rings with homo multipliers
Discussiones Mathematicae. General Algebra and Applications, Tome 44 (2024) no. 1, pp. 199-215.

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In this study, we provide new types of mappings on the ring and near-ring, which are called homoleft multiplier, homoright multiplier and homo multiplier. We also investigated how these mappings affected the structure of near-rings. Moreover, we present examples that show the existence of such mappings.
Keywords: 3-prime near-rings, Lie ideals, homoleft multipliers, homoright multipliers, homomultipliers
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Farhan, Enaam; Boua, Abdelkarim. Notes on rings and near-rings with homo multipliers. Discussiones Mathematicae. General Algebra and Applications, Tome 44 (2024) no. 1, pp. 199-215. http://geodesic.mathdoc.fr/item/DMGAA_2024_44_1_a12/

[1] A. Al-Kenani, A. Melaibari and N. Muthana, Homoderivations and commutativity of $\ast$-prime rings, East-West J. Math., 17 (2) 2015, 117–126.

[2] H. E. Bell and G. Mason, On derivations in near-rings, In near-rings and near-fields, 137 (1987) 31–35. https://doi.org/10.1016/S0304-0208(08)72283-7

[3] H. E. Bell, A. Boua and L. Oukhtite, Semigroup ideals and commutativity in 3-prime near-rings, Comm. Algebra 43(5) (2015) 1757–1770. https://doi.org/10.1080/00927872.2013.879161

[4] A. Boua and L. Oukhtite, Generalized derivations and commutativity of prime near-rings, Journal of Advanced Research in Pure Mathematics, 3 (2011) 120–124.

[5] A. Boua, A. Ali and I. ul huque, several algebraic identities in 3-prime near-rings, Kragujevac J. Math., 42 (2) (2018) 249–258. https://doi.org/10.5937/KgJMath1802249B

[6] A. Boua, Homoderivations and Jordan right ideals in 3-prime near-rings, AIP Conference Proceedings 2074, 020010 (2019). https://doi.org/10.1063/1.5090627

[7] A. Boua and E. Farhan, Generalized homoderivations on near-rings, Indian J. Math., 63(2) (2021) 229–242.

[8] A. Melaibari, N. Muthana and A. Al-Kenani, On Homoderivations in Rings, Gen. Math. Notes., 35(1) (2016) 1–8.

[9] S. Mouhssine and A. Boua, Homoderivation and semigroup ideals in 3-prime near-rings, Algebraic Structures and Their Applications 8(2) (2021) 177–194. https://doi.org/10.29252/as.2021.2110

[10] M. M. El Sofy, M. Sc. Thesis, Cairo University, Branch of Fayoum, Cairo, Egypt, (2000).