Buckley, Stephen M. and McHale, D. (2012) Z-polynomials and ring commutativity. Mathematical Proceedings of the Royal Irish Academy, 112A (2). pp. 51-57.
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Official URL: http://www.jstor.org/stable/23464468
Abstract
We characterise polynomials f with integer coefficients such that a ring with unity R is necessarily commutative if f(x) is central for all x Ɛ R. We also solve the corresponding problem without the assumption that the ring has a unity.
Item Type: | Article |
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Additional Information: | This is the preprint version of the published article, which is available at: S.M. Buckley and D. MacHale, Z-polynomials and ring commutativity, Mathematical Proceedings of the Royal Irish Academy 112A (2012), 51-57; doi:10.3318/PRIA.2011.112.06 |
Keywords: | Z-polynomials; ring commutativity; |
Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
Item ID: | 6981 |
Identification Number: | https://doi.org/10.3318/PRIA.2011.112.06 |
Depositing User: | Prof. Stephen Buckley |
Date Deposited: | 23 Feb 2016 12:25 |
Journal or Publication Title: | Mathematical Proceedings of the Royal Irish Academy |
Publisher: | Royal Irish Academy |
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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