Commuting probability for subrings and quotient rings

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Date
2016-02-25
Authors
Buckley, Stephen M.
MacHale, Desmond
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Publisher
Jacodesmath Institute, Istanbul, Turkey
Published Version
10.13069/jacodesmath.284962
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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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Keywords
Commuting probability , Subring , Quotient ring
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
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http://jacodesmath.com/index.php/jacodesmath/index
URI
https://hdl.handle.net/10468/3730
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Mathematical Sciences- Journal Articles
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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.