Affiliation:
1. Punjabi University
2. Patel Memorial National College, Rajpura
Abstract
In this paper, we consider skew Lie product on an involutive ring and study several algebraic identities for it, which include generalized derivations of the ring. The results give information about the commutativity of the ring and a description of the generalized derivations.
Publisher
Armenian Journal of Mathematics, Institute of Mathematics, NAS RA
Reference20 articles.
1. A. Abbasi, M.R. Mozumder and N.A. Dar, A note on skew Lie product of prime ring with involution, Miskolc Math. Notes, 21 (2020), no. 1, pp. 203-218.
2. A. Alahmadi, H. Alhazmi, S. Ali and A.N. Khan, Generalized derivations on prime rings with involution, Commun. Math. Appl., 8 (2017), no. 1, pp. 87-97.
3. S. Ali, N.A. Dar and M. Asci, On derivations and commutativity of prime rings with involution, Georgian Math. J., 23 (2016), no. 1, pp. 9-14.
4. 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, pp. 17-24.
5. S. Ali, A.N. Khan and N.A. Dar, Herstein's theorem for generalized derivations in rings with involution, Hacettepe J. Math. Stat., 46 (2017), no. 6, pp. 1029-1034.