Open AccessCommuting probability for subrings and quotient rings
Author(s) -
Stephen M. Buckley,
Desmond MacHale
Publication year - 2017
Publication title -
journal of algebra combinatorics discrete structures and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.137
H-Index - 1
ISSN - 2148-838X
DOI - 10.13069/jacodesmath.284962
Subject(s) - quotient , mathematics , ring (chemistry) , pure mathematics , probability measure , discrete mathematics , chemistry , organic chemistry
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.
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