دوره 21، شماره 1 - ( 2-1405 )
جلد 21 شماره 1 صفحات 66-53 |
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Bedir Z, Golbasi O. Some Equations in Semiprime Rings with Multiplicative Generalized Semiderivation. IJMSI 2026; 21 (1) :53-66
URL: http://ijmsi.ir/article-1-2258-fa.html
URL: http://ijmsi.ir/article-1-2258-fa.html
Some Equations in Semiprime Rings with Multiplicative Generalized Semiderivation. مجله علوم ریاضی و انفورماتیک. 1405; 21 (1) :53-66
چکیده:
Let R be a semiprime ring. A mapping F on R is said to be a multiplicative generalized semiderivation of R if there exists a multiplicative semiderivation d associated with a map g on R such that (i) F(xy) =F(x)y + g (x) d(y) = d(x)g (y) + xF(y) and (ii) F(g(x)) = g(F(x)), for all x, y ∈ R. The purpose of this paper is to study multiplicative generalized semiderivations satisfying certain differential identities on semiprime rings.
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