On Multiplicative Generalized Derivations in 3-Prime Near-Rings


BEDİR Z. , Golbas O.

6th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA), Budapest, Macaristan, 15 - 17 Ağustos 2017, cilt.1926 identifier identifier

  • Cilt numarası: 1926
  • Doi Numarası: 10.1063/1.5020456
  • Basıldığı Şehir: Budapest
  • Basıldığı Ülke: Macaristan

Özet

In the present paper, we prove that 3-prime near-ring N is commutative ring, if any one of the.following conditions are satisfied: (i.) f (N) subset of Z, (ii) f ([x,y]) = 0, (iii) f ([x,y]) = +/-tau ([x,y]), (iv) f ([x,y]) = +/-tau (xoy), (v) f ([x,y]) = tau([d(x), y]), for all x, y is an element of N, where f is a nonzero left multiplicative generalized (sigma, tau)-derivation of N associated with a multiplicative (sigma, tau)-derivation d.