A NOTE ON (sigma,tau)-DERIVATIONS OF RINGS WITH INVOLUTION


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KOÇ E. , GÖLBAŞI Ö.

MISKOLC MATHEMATICAL NOTES, cilt.15, ss.559-569, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 15 Konu: 2
  • Basım Tarihi: 2014
  • Doi Numarası: 10.18514/mmn.2014.476
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Sayfa Sayıları: ss.559-569

Özet

Let R be a 2-torsion free simple *-ring and D: W R -> R be an additive mapping satisfiying D(xx) = D(x)sigma(x*) +tau(x)D(X*) for all x epsilon R: Then D is (sigma,tau)-derivation of R or R is S-4 ring. Also, if R is a 2-torsion free semiprime ring and G W R -> R is an additive mapping related with some (sigma,tau)- derivation D of R such that G(xx*) = G(X)sigma(x*) + tau(x) D(x*) for all x epsilon R; then G is generalized (sigma,tau)-derivation of R: