Commuting probability for subrings and quotient rings

Year 2017, Volume: 4 Issue: 2 (Special Issue: Noncommutative rings and their applications), 189 - 196, 10.01.2017

Stephen M. Buckley Desmond Machale

https://doi.org/10.13069/jacodesmath.284962

Cited By: 2

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.

Keywords

Commuting probability, Subring, Quotient ring

References

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