TARU PUBLICATIONS
Journal of Discrete Mathematical Sciences and Cryptography cover
Hybrid ·Peer-reviewed·ISSN (Online): 2169-0065·ISSN (Print): 0972-0529

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

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Open Access Research Article

Orthogonality of generalized G-m-derivations in semi-prime G-nearrings

*

* Corresponding author · click or hover a name for details

pp. 1731–1737Vol. 26Issue 6September 2023DOI: 10.47974/JDMSC-1634 Crossmark XML
Received:
05 May 2022
Accepted:
05 Jun 2022
Published Online:
01 Jun 2023
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-1634
Pages:
1731–1737

Abstract

We introduced the nomenclature of orthogonal G -m-derivations and orthogonal generalized G -m-derivations in semi-prime G -near-rings and provide a few essentials and enough provision for generalized G -n-derivations in semi-prime G -near-rings by orthogonal.

Keywords

Subject Classifications

Primary 93A30Secondary 49K15

References

[1] Asraf, M. and Siddeeque, M. A., “On permuting n-derivations in near-rings”, Commun. Kor. Math. Soc., Vol. 28, No. 4, pp. 697–707 (2013).
[2] Ashraf M. and M.R.Jamal, Orthogonal Derivations in G-rings, Advances in Algebra, 3(1), 1-6 (2010).
[3] Hiba A. Ahmed, Right G-n-derivations in prime G-near-rings, Int. J. Nonlinear Anal. Appl. 12, No. 2, 1653–1658 (2021)
[4] Hiba A. Ahmed, Abdulrahman H. M., Generalized G-n-Derivations on Prime G-Near-Rings, J. Phys.: Conf. Vol. 1963, 012123 (2021).
[5] Kalyan K., Akhil C. and Isamiddin S., Orthogonal Generalized derivations in semiprime gamma near-rings, International Journal of Algebra, Vol. 6, No. 23, 1127-1134 (2012).
[6] Madhuchelvi L., On Generalized Derivations in G-Near-Ring Int Jr.of Mathematical Sciences and Applications, ISSN N0, 6 (1) 2230-9888 (2016).
[7] Park, K.H. and Jung, Y.S. Semiprime near-rings with orthogonal derivations, Korea Soc. J. Math., 13(40), pp.303-310 (2006).
[8] Shubham Sharma & Ahmed J. Obaid, Mathematical modelling, analysis and design of fuzzy logic controller for the control of ventilation systems using MATLAB fuzzy logic toolbox, Journal of Interdisciplinary Mathematics, 23:4, 843-849 (2020), DOI: 10.1080/09720502.2020.1727611.
[9] D. White. An orthogonal set of predictors for wins in major league baseball, Journal of Interdisciplinary Mathematics, 13:3, 309-319 (2010), DOI: 10.1080/09720502.2010.10700703.

Views: 270Downloads: 60Citations: 0