Bano, T. and Ur Rehman, N. (2017) Some identities on automorphisms in prime rings. Rendiconti del Circolo Matematico di Palermo, 66 (3). pp. 375-381. ISSN 0009725X
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Official URL: https://link.springer.com/article/10.1007%2Fs12215...
Abstract
In the present paper we prove that, let R be a prime ring with center Z, L a Lie ideal of R and σ a nontrivial automorphism of R such that (i){ σ(u) } n- (u) 2 m + 1= 0 , (ii){ σ(u) } n- (u) 2 m + 1∈ Z, (iii) { σ(u) } n+ (u) 2 m= 0 forallu∈L and fixed n, m≥ 1. If either char (R) > n+ 1 or char (R) = 0 , then L⊆ Z. © 2016, Springer-Verlag Italia.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Automorphism; Lie ideal; Prime ring |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculties > Faculty of Science > Department of Mathematics |
| Depositing User: | AMU Library |
| Date Deposited: | 30 Jan 2018 07:09 |
| Last Modified: | 31 Jan 2018 06:23 |
| URI: | http://ir.amu.ac.in/id/eprint/11043 |
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