In the present paper, we shall prove that 3-prime near-ring N is commutative ring, if any one of the following conditions are satisfied: (i) f(N)⊆Z, (ii) f([x,y])=0, (iii) f([x,y])=±[x,y], (iv) f([x,y])=±(xoy), (v) f([x,y])=[f(x),y], (vi) f([x,y])=[x,f(y)], (vii) f([x,y])=[d(x),y], (viii) f([x,y])=d(x)oy,(ix) [f(x),y]∈Z for all x,y∈N where f is a nonzero multiplicative generalized derivation of N associated with a multiplicative derivation d.
Prime near-ring derivation multiplicative generalized derivation
Birincil Dil | İngilizce |
---|---|
Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 1 Şubat 2019 |
Gönderilme Tarihi | 16 Haziran 2017 |
Kabul Tarihi | 28 Kasım 2017 |
Yayımlandığı Sayı | Yıl 2019 Cilt: 68 Sayı: 1 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
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