On semiderivations of *-prime rings


Golbasiand O., Agirtici O.

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, cilt.33, ss.177-184, 2015 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 33 Konu: 2
  • Basım Tarihi: 2015
  • Doi Numarası: 10.5269/bspm.v33i2.23687
  • Dergi Adı: BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA
  • Sayfa Sayıları: ss.177-184

Özet

Let R be a *-prime ring, with involution * and center Z(R). An additive mapping F : R -> R is called a semiderivation if there exists a function g : R -> R, such that (i) F(xy) =F(x)g(y) + xF(y) = F(x)y + g(x)F(y) and (ii) F(g(x)) = g(F(x)) hold for all x, g is an element of R. In the present paper, some well known results concerning derivations of prime rings are extended to semiderivations of *-prime rings.