Title of article :
Commuting probability for subrings and quotient rings
Author/Authors :
buckley, stephen m. maynooth university - department of mathematics and statistics, Kildare, Ireland , machale, desmond university college cork - school of mathematical sciences, Cork, Ireland
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
Journal title :
Journal Of Algebra Combinatorics Discrete Structures and Applications
Journal title :
Journal Of Algebra Combinatorics Discrete Structures and Applications
