Generalized (a, b)-reverse derivations in semi prime near rings
Abdul Rauf Khankhankts@gmail.comDepartment of MathematicsKhwaja Fareed University of Engineering and Information TechnologyRahim Yar Khan, Punjab, 64200, PakistanView full profile → , Rabia Nazrabiinaz814@gmail.comDepartment of MathematicsKhwaja Fareed University of Engineering and Information TechnologyRahim Yar Khan, Punjab, 64200, PakistanView full profile → , *Muhammad Kashif MaqboolCorresponding authorkashifmaqbool9@gmail.comDepartment of MathematicsThe Islamia University of BahawalpurBahawalpur, 64200, PakistanView full profile → , Zaheer Ahmadzaheeir@gmail.comDepartment of MathematicsKhwaja Fareed University of Engineering and Information TechnologyRahim Yar Khan, Punjab, 64200, PakistanView full profile → , Kar Ping Shumkpshum@ynu.edu.cnInstitute of MathematicsYunnan UniversityChinaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 07 Jul 2021
- Accepted:
- 06 Jan 2022
- Published Online:
- 30 Sep 2023
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-1571
- Pages:
- 1639–1664
Abstract
Keywords
Subject Classifications
References
[1] Howard E Bell and Gordon Mason, On derivations in near-rings, North-Holland Mathematics Studies, vol. 137, Elsevier, 1987, pp. 31–35.
[2] Abdelkarim Boua, Some identities in rings and near-rings with derivations, Kragujevac Journal of Mathematics 45 (2012), no. 1, 75–80.
[3] Matej BreŠar, One-sided ideals and derivations of prime rings, Proceedings of the American Mathematical Society (1994), 979–983.
[4] Matej BreŠar and Joso Vukman, On some additive mappings in rings with involution, aequationes mathematicae 38 (1989), no. 2-3, 178–185.
[5] Chen-Lian Chuang, Tsiu-Kwen Lee, Cheng-Kai Liu, and Yuan-Tsung Tsai, Higher derivations of ore extensions, Israel Journal of Mathematics 175 (2010), no. 1, 157–178.
[6] Mohamad Nagy Daif and Howard E Bell, Remarks on derivations on semiprime rings, International Journal of Mathematics and Mathematical Sciences 15 (1992).
[7] Basudeb Dhara, Remarks on generalized derivations in prime and semiprime rings, International Journal of Mathematics and Mathematical Sciences 2010 (2010).
[8] Öznur GÖlbaşi and KOC. Emine, Notes on commutativity of prime rings with generalized derivation, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 58 (2009), no. 2, 39–46.
[9] IN Herstein, Jordan derivations of prime rings, Proceedings of the American Mathematical Society 8 (1957), no. 6, 1104–1110.
[10] L Madhuchelvi and B Nivetha, Generalized reverse derivations in semiprime near-rings, The International Journal of Analytical and Experimental Modal Analysis 12 (2020).
[11] MA Quadri, M Shadab Khan, and N Rehman, Generalized derivations and commutativity of prime rings, Indian Journal of Pure and Applied Mathematics 34 (2003), no. 9, 1393–1396.
[12] Mohammad Samman and Nouf Alyamani, Derivations and reverse derivations in semiprime rings, International Mathematical Forum, vol. 2, 2007, pp. 1895–1902.
[13] RK Sharma and B Prajapati, Lie ideal and generalized jordan left derivation on semiprime rings, Italian J. of Pure and Applied Math (2013), 15–22.
[14] Monrudee Sirivoravit and Utsanee Leerawat, On a generalization of reverse derivation of certain algebraic structure, Journal of Discrete Mathematical Sciences and Cryptography 23 (2020), no. 5, 1069–1076.
[15] AB Thaheem, On some properties of derivations on semiprime rings., Southeast Asian Bulletin of Mathematics 29 (2005), no. 6.
[16] Nadeem Ur-Rehman, On commutativity of rings with generalized derivations, Math. J Okayama Univ 44 (2002), 43–49.
[17] Tasiu Abdullahi Yusuf, Commutativity results on prime near-rings involving reverse derivation, Mohammed First University Faculty of Sciences Department of Mathematics (2019), 126.




