Abstract
The main goal of the present paper is to study some results concerning generalized derivations of prime rings with involution. Moreover, we provide examples to show that the assumed restriction cannot be relaxed.
References
[1]
S. Ali and N. A. Dar,
On
[2] S. Ali, N. A. Dar and M. Asci, On derivations and commutativity of prime rings with involution, Georgian Math. J. 23 (2016), no. 1, 9–14. 10.1515/gmj-2015-0016Search in Google Scholar
[3] S. Ali, N. A. Dar and A. N. Khan, On strong commutativity preserving like maps in rings with involution, Miskolc Math. Notes 16 (2015), no. 1, 17–24. 10.18514/MMN.2015.1297Search in Google Scholar
[4] B. Dhara, N. Rehman and M. A. Raza, Lie ideals and action of generalized derivations in rings, Miskolc Math. Notes 16 (2015), no. 2, 769–779. 10.18514/MMN.2015.1343Search in Google Scholar
[5]
A. Mamouni, L. Oukhtite and B. Nejjar,
On
[6] B. Nejjar, A. Kacha, A. Mamouni and L. Oukhtite, Commutativity theorems in rings with involution, Comm. Algebra 45 (2017), no. 2, 698–708. 10.1080/00927872.2016.1172629Search in Google Scholar
[7] L. Oukhtite and A. Mamouni, Generalized derivations centralizing on Jordan ideals of rings with involution, Turkish J. Math. 38 (2014), no. 2, 225–232. 10.3906/mat-1203-14Search in Google Scholar
[8] E. C. Posner, Derivations in prime rings, Proc. Amer. Math. Soc. 8 (1957), 1093–1100. 10.1090/S0002-9939-1957-0095863-0Search in Google Scholar
© 2021 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Iterative rational least squares fitting
- Extensions of hom-Lie color algebras
- On the solvability of the modified Cauchy problem for linear systems of generalized ordinary differential equations with singularities
- On the solvability of a nonlocal problem for the system of Sobolev-type differential equations with integral condition
- Characterizing realcompact locales via remainders
- Jakimovski–Leviatan operators of Kantorovich type involving multiple Appell polynomials
- Further refinements of generalized numerical radius inequalities for Hilbert space operators
- An alternative transient solution for semi-Markov queuing systems
- On generalized fractional integration by parts formulas and their applications to boundary value problems
- Lie triple systems and Leibniz algebras
- Accessibility on iterated function systems
- Bell–Sheffer exponential polynomials of the second kind
- A study of differential prime rings with involution
- Existence result for nonlinear fractional differential equations with nonlocal fractional integro-differential boundary conditions in Banach spaces
- Inequalities for nonuniform wavelet frames
- Notes on quasi-Frobenius rings
Articles in the same Issue
- Frontmatter
- Iterative rational least squares fitting
- Extensions of hom-Lie color algebras
- On the solvability of the modified Cauchy problem for linear systems of generalized ordinary differential equations with singularities
- On the solvability of a nonlocal problem for the system of Sobolev-type differential equations with integral condition
- Characterizing realcompact locales via remainders
- Jakimovski–Leviatan operators of Kantorovich type involving multiple Appell polynomials
- Further refinements of generalized numerical radius inequalities for Hilbert space operators
- An alternative transient solution for semi-Markov queuing systems
- On generalized fractional integration by parts formulas and their applications to boundary value problems
- Lie triple systems and Leibniz algebras
- Accessibility on iterated function systems
- Bell–Sheffer exponential polynomials of the second kind
- A study of differential prime rings with involution
- Existence result for nonlinear fractional differential equations with nonlocal fractional integro-differential boundary conditions in Banach spaces
- Inequalities for nonuniform wavelet frames
- Notes on quasi-Frobenius rings