@article{article_284962, title={Commuting probability for subrings and quotient rings}, journal={Journal of Algebra Combinatorics Discrete Structures and Applications}, volume={4}, pages={189–196}, year={2017}, DOI={10.13069/jacodesmath.284962}, author={Buckley, Stephen M. and Machale, Desmond}, keywords={Commuting probability,Subring,Quotient ring}, 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.}, number={2 (Special Issue: Noncommutative rings and their applications)}, publisher={iPeak Academy}