# DERIVATIONS ON PRIME AND SEMI-PRIME RINGS

• Lee, Eun-Hwi (DEPARTMENT OF MATHEMATICS, JEONJU UNIVERSITY) ;
• Jung, Yong-Soo (DEPARTMENT OF MATHEMATICS, CHUNGNAM NATIONAL UNIVERSITY) ;
• Chang, Ick-Soon (DEPARTMENT OF MATHEMATICS, CHUNGNAM NATIONAL UNIVERSITY)
• Published : 2002.08.01

#### Abstract

In this paper we will show that if there exist derivations D, G on a n!-torsion free semi-prime ring R such that the mapping $D^2+G$ is n-commuting on R, then D and G are both commuting on R. And we shall give the algebraic conditions on a ring that a Jordan derivation is zero.

#### References

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#### Cited by

1. Generalized Derivations and Commuting Additive Maps on Multilinear Polynomials in Prime Rings vol.68, pp.2, 2016, https://doi.org/10.1007/s11253-016-1219-0
2. On n-commuting and n-skew-commuting maps with generalized derivations in prime and semiprime rings vol.52, pp.3, 2011, https://doi.org/10.1134/S0037446611030141