A Note On Square-free Commuting Probabilities of Finite Rings
- Resource Type
- Working Paper
- Authors
- Mendelsohn, Andrew
- Source
- Subject
- Mathematics - Rings and Algebras
20P05, 20D15, 16U80, 16P10
- Language
It is shown that the commuting probability of a finite ring cannot be a fraction with square-free denominator, resolving a conjecture of Buckley and MacHale.
Comment: 5 pages, published in the Journal of Algebra and its Applications