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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
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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: | 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: | https://mural.maynoothuniversity.ie/id/eprint/6982 |
| 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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