2018/04/30 by Ferreira, Bruno L M, Guzzo, Henrique, Ferreira, Ruth N.
#16W25 #47B47 #FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.1805.00009
The purpose of this note is to prove the following. Suppose \R is a semiprime unity ring having an idempotent element e (e ≠ 0, e ≠ 1) which satisfies mild conditions. It is shown that every additive generalized Jordan derivation on \R is a generalized derivation.