# ON PERMUTING n-DERIVATIONS IN NEAR-RINGS

• Published : 2013.10.31
• 25 5

#### Abstract

In this paper, we introduce the notion of permuting $n$-derivations in near-ring N and investigate commutativity of addition and multiplication of N. Further, under certain constrants on a $n!$-torsion free prime near-ring N, it is shown that a permuting $n$-additive mapping D on N is zero if the trace $d$ of D is zero. Finally, some more related results are also obtained.

#### Keywords

left near-rings;zero symmetric;derivations;permuting n-derivations

#### References

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#### Cited by

1. On semigroup ideals and n-derivations in near-rings vol.9, pp.1, 2015, https://doi.org/10.1016/j.jtusci.2014.09.004
2. ON (σ, τ)-n-DERIVATIONS IN NEAR-RINGS vol.06, pp.04, 2013, https://doi.org/10.1142/S1793557113500514