MULTIPLICATIVE GENERALIZED DERIVATIONS ON IDEALS IN SEMIPRIME RINGS

Golbas Ö.

MATHEMATICA SLOVACA, cilt.66, sa.6, ss.1285-1296, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 66 Sayı: 6
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1515/ms-2016-0223
  • Dergi Adı: MATHEMATICA SLOVACA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1285-1296
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

Let R be a ring and I is a nonzero ideal of R. A mapping F : R -> R is called a multiplicative generalized derivation if there exists a mapping g : R -> R such that F(xy) = F(x)y + xg(y), for all x, y is an element of R. In the present paper, we shall prove that R contains a nonzero central ideal if any one of the following holds: