Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2017 / Cilt: 66 - Sayı: 1
ON MULTIPLICATIVE (GENERALIZED)-DERIVATIONS IN SEMIPRIME RINGS
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 153–164
- DOI
- —
Abstract
In this paper, we study commutativity of a prime or semiprime ring using a map F : R ! R, multiplicative (generalized)-derivation and a map H : R ! R; multiplicative left centralizer, under the following conditions: For all x; y 2 R, i) F(xy)H(xy) = 0; ii) F(xy)H(yx) = 0; iii) F(x)F(y)H(xy) = 0; iv) F(xy)H(xy) 2 Z; v) F(xy)H(yx) 2 Z; vi) F(x)F(y)H(xy) 2 Z.