Journal
AMERICAN MATHEMATICAL MONTHLY
Volume 125, Issue 6, Pages 545-548Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/00029890.2018.1449541
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We investigate finite rings with identity which have few elements of certain types, with particular attention to elements which are either idempotent or nilpotent. We show that in a ring R of odd order, the proportion of each of these types of elements does not exceed vertical bar R vertical bar+1/2.
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