English

A Note On Square-free Commuting Probabilities of Finite Rings

Rings and Algebras 2023-11-02 v2

Abstract

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.

Keywords

Cite

@article{arxiv.2301.02041,
  title  = {A Note On Square-free Commuting Probabilities of Finite Rings},
  author = {Andrew Mendelsohn},
  journal= {arXiv preprint arXiv:2301.02041},
  year   = {2023}
}

Comments

5 pages, published in the Journal of Algebra and its Applications