Commuting probability for subrings and quotient rings

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Commuting probability for subrings and quotient rings

Buckley, Stephen M.; MacHale, Desmond
Date: 2016-02-25
Copyright: © 2016, the Authors. Journal of Algebra Combinatorics Discrete Structures and Applications is licensed under a Creative Commons Attribution 4.0 International License.
Copyright information: https://creativecommons.org/licenses/by/4.0/
Related: http://jacodesmath.com/index.php/jacodesmath/index
Citation: Buckley, S. M. and MacHale, D. (2016) 'Commuting probability for subrings and quotient rings', Journal of Algebra Combinatorics Discrete Structures and Applications, 4(2), pp. 189-196. doi:10.13069/jacodesmath.284962
Published Version: 10.13069/jacodesmath.284962

Abstract:

We prove that the commuting probability of a finite ring is no larger than the commuting probabilities of its subrings and quotients, and characterize when equality occurs in such a comparison.

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© 2016, the Authors. Journal of Algebra Combinatorics Discrete Structures and Applications is licensed under a Creative Commons Attribution 4.0 International License. Except where otherwise noted, this item's license is described as © 2016, the Authors. Journal of Algebra Combinatorics Discrete Structures and Applications is licensed under a Creative Commons Attribution 4.0 International License.
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