THE COMMUTATIVITY OF PRIME NEAR RINGS

Afrah Mohammad Ibraheem

doi:10.29121/granthaalayah.v6.i2.2018.1580

THE COMMUTATIVITY OF PRIME NEAR RINGS

Authors

Afrah Mohammad Ibraheem Department of Mathematics, College of Education, Al-Mustansiriyah University, Iraq

DOI:

https://doi.org/10.29121/granthaalayah.v6.i2.2018.1580

Keywords:

Prime Near Ring, Reverse Derivation, Reverse Σ-Derivation, Commutativity

Abstract [English]

Let N be a near-ring, and σ be an automorphisms of N. An additive mapping d from a near-ring N into itself is called a reverse σ-derivation on N if d (xy) = d(y) x + σ(y) d(x), holds for all x, y∈ N. In this paper, we shall investigate the commutativity of N by a reverse σ-derivation d satisfied some properties, when N is a prime ring.

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References

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Published

2018-02-28

How to Cite

Ibraheem, A. M. (2018). THE COMMUTATIVITY OF PRIME NEAR RINGS. International Journal of Research -GRANTHAALAYAH, 6(2), 339–345. https://doi.org/10.29121/granthaalayah.v6.i2.2018.1580

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Issue

Vol. 6 No. 2 (2018): Volume 6 Issue 2 - February, 2018

Section

Articles

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