Buckley, Stephen M. and MacHale, D.
(2013)
Variations on a Theme: Rings Satisfying x³ = x Are Commutative.
American Mathematical Monthly, 120 (5).
pp. 430-440.
ISSN 0002-9890
Abstract
A ring satisfying x³ = x is necessarily commutative. We consider a
variety of weaker forms of this condition and show that many but not all of them
imply commutativity. We also present a variety of elementary proofs of the fact
that x³ = x implies commutativity.
| Item Type: |
Article
|
| Additional Information: |
This is the preprint version of the published article, which is available at DOI: 10.4169/amer.math.monthly.120.05.430 |
| Keywords: |
Rings; Commutative; |
| Academic Unit: |
Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: |
6982 |
| Identification Number: |
https://doi.org/10.4169/amer.math.monthly.120.05.430 |
| Depositing User: |
Prof. Stephen Buckley
|
| Date Deposited: |
23 Feb 2016 12:25 |
| Journal or Publication Title: |
American Mathematical Monthly |
| Publisher: |
Mathematical Association of America |
| 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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