Journal of Mathematics, Physics and Mechanics

Professor Nadeem ur Rehman is a Professor in the Department of Mathematics at Aligarh Muslim University, Aligarh, India. He obtained his Ph.D. in Mathematics from the same university in 2000. His research interests include Ring Theory, Derivations in Rings and Algebras, Functional Identities, Algebraic Coding Theory, Cryptography, and Graph Theory. With over 22 years of teaching and 27 years of research experience, he has published more than 240 research papers in reputed international journals and conference proceedings. He has supervised 11 Ph.D. scholars and several M.Phil. and M.Sc. students. Professor Rehman has received the UGC Research Award and the DAAD Postdoctoral Fellowship, Germany, and has led several major research projects funded by CSIR, NBHM, UGC, and DST. He serves on the editorial boards of international journals and is an active reviewer for Mathematical Reviews (AMS), zbMATH Open, and several leading mathematics journals.

• Derivations in Rings
• Ring Theory/Commutativity and Structure of rings and Near–Rings
• Near –Rings and Modules
• Functional Identities in rings and algebras
• Algebraic Coding Theory
• Cryptography and Graph Theory
• Banach Algebras

• Editor of multiple international mathematics journals.
• Reviewer for Mathematical Reviews (American Mathematical Society).
• Reviewer for Zentralblatt MATH.
• Reviewer for numerous international mathematics journals.
• Principal Investigator of multiple CSIR, NBHM, and UGC-funded research projects.
• Delivered 28 invited and keynote lectures internationally.
• Participated in 36 international conferences and workshops.
• Supervised 11 completed Ph.D. scholars and several ongoing doctoral students.

1. On commutativity of rings with derivations (2002)
2. Generalized Derivations and Commutativity (2003)
3. On derivation and commutativity in prime rings (2001)
4. On commutativity of rings with generalized derivations (2016)
5. On Lie ideals with derivations as homomorphisms and anti-homomorphisms (2003)
6. On Lie ideals and Jordan left derivations of prime rings (2000)
7. On generalized derivations as homomorphisms and anti-homomorphisms (2004)
8. Generalized derivations with commutativity and anti-commutativity conditions (2007)
9. On Jordan generalized derivations in rings (2000)
10. On generalized (α, β)-derivations in prime rings (2010)
11. Semen characteristics of Sahiwal bulls in relation to age and season (2003)
12. On Jordan left derivations of Lie ideals in prime rings (2002)
13. Lie ideals and Jordan triple derivations in rings (2011)
14. On α-derivations in prime rings (2002)
15. *A note on nonlinear mixed Jordan triple derivation on -algebras (2023)
16. On Lie ideals and Jordan generalized derivations of prime rings (2003)
17. On semiprime rings with generalized derivations (2010)
18. On prime and semiprime rings with generalized derivations and non-commutative Banach algebras (2016)
19. Action of prime ideals on generalized derivations-I (2021)
20. On n-commuting and n-skew-commuting maps with generalized derivations in prime and semiprime rings (2011)
21. Exploring normalized distance Laplacian eigenvalues of the zero-divisor graph of ring ℤn (2024)
22. On the essential annihilating-ideal graph of commutative rings (2022)
23. Identities in a prime ideal of a ring involving generalized derivations (2021)
24. Lie ideals and generalized derivations in semiprime rings (2015)
25. Commutativity of prime rings with generalized derivations and anti-automorphisms (2022)
26. On the planarity, genus and crosscap of new extension of zero-divisor graph of commutative rings (2022)
27. Generalized derivations as homomorphisms or anti-homomorphisms on Lie ideals (2016)
28. Lie ideals and action of generalized derivations in rings (2015)
29. On Lie structure of prime rings with generalized (α, β)-derivations (2009)
30. On generalized derivations involving prime ideals (2022)