THE COMMUTATIVITY OF PRIME NEAR RINGS
DOI:
https://doi.org/10.29121/granthaalayah.v6.i2.2018.1580Keywords:
Prime Near Ring, Reverse Derivation, Reverse Σ-Derivation, CommutativityAbstract [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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