# ON PERMUTING 3-DERIVATIONS AND COMMUTATIVITY IN PRIME NEAR-RINGS

• Park, Kyoo-Hong (Department of Mathematics Education, Seowon University) ;
• Jung, Yong-Soo (Department of Mathematics, Sun Moon University)
• Published : 2010.01.31
• 80 8

#### Abstract

In this note, we introduce a permuting 3-derivation in nearrings and investigate the conditions for a near-ring to be a commutative ring.

#### Keywords

prime near-ring;commutative ring;permuting 3-derivation

#### References

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#### Cited by

1. ON PERMUTING n-DERIVATIONS IN NEAR-RINGS vol.28, pp.4, 2013, https://doi.org/10.4134/CKMS.2013.28.4.697
2. Prime and semiprime rings with symmetric skew 3-derivations vol.87, pp.1-2, 2014, https://doi.org/10.1007/s00010-013-0208-8
3. Skew n-derivation on prime and semi prime rings 2016, https://doi.org/10.1007/s11565-016-0259-6