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
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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