Article in press
Authors:
Title:
Notes on rings and near-rings with homo multiplier
PDFSource:
Discussiones Mathematicae - General Algebra and Applications
Received: 2022-09-20 , Revised: 2023-01-17 , Accepted: 2023-01-17 , Available online: 2023-08-24 , https://doi.org/10.7151/dmgaa.1441
Abstract:
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 ring, homoleft multiplier, homoright, multiplier, homomultiplier.
References:
- A. Al-Kenani, A. Melaibari and N. Muthana, Homoderivations and commutativity of $\ast$-prime rings, East-West J. Math., 17 (2) 2015, 117–126.
- 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 - 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 - A. Boua and L. Oukhtite, Generalized derivations and commutativity of prime near-rings, Journal of Advanced Research in Pure Mathematics, 3 (2011) 120–124.
- 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 - 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 - A. Boua and E. Farhan, Generalized homoderivations on near-rings, Indian J. Math., 63(2) (2021) 229–242.
- A. Melaibari, N. Muthana and A. Al-Kenani, On Homoderivations in Rings, Gen. Math. Notes., 35(1) (2016) 1–8.
- 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 - M. M. El Sofy, M. Sc. Thesis, Cairo University, Branch of Fayoum, Cairo, Egypt, (2000).
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