Buckley, Stephen M. and MacHale, D.
(2012)
Centrifiers and ring commutativity.
Journal of Mathematical Sciences: Advances and Applications, 15.
pp. 139-161.
ISSN 0974-5750
Abstract
A result of Herstein says in particular that if there exists n > 1
such that xᵑ − x ∈ Z(R) for all x in a ring R then R is commutative. We give an elementary proof of this fact for certain values of n, based on the theory of centrifiers which we develop. For n = 5; 7, we also give an elementary proof of the
commutativity of rings R such that xᵑ + x ∈ Z(R) for all x ∈ R.
| Item Type: |
Article
|
| Additional Information: |
This is the preprint version of the published article. |
| Keywords: |
Centrifiers; ring commutativity; |
| Academic Unit: |
Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: |
6983 |
| Depositing User: |
Prof. Stephen Buckley
|
| Date Deposited: |
23 Feb 2016 12:56 |
| Journal or Publication Title: |
Journal of Mathematical Sciences: Advances and Applications |
| Publisher: |
Scientific Advances Publishers |
| Refereed: |
Yes |
| URI: |
|
| Use Licence: |
This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available
here |
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