Commuting probability for subrings and quotient rings

Journal of Algebra Combinatorics Discrete Structures and Applications

article

Stephen M. Buckley¹  Desmond MacHale¹ 

[1] Department of Mathematics and Statistics, Maynooth University;School of Mathematical Sciences, University College Cork

关键词: Commuting probability;    Subring;    Quotient ring;   

DOI  :  10.13069/jacodesmath.284962

学科分类：社会科学、人文和艺术（综合）

来源: Yildiz Technical University

【 摘 要 】

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.

【 授权许可】

CC BY