International Journal of Mathematics and Statistics Studies (IJMSS)

EA Journals

Derivation

Orthogonal Symmetric Bi Derivations in Semiprime Rings (Published)

In this paper we introduce the notation of orthogonal symmetric bi derivations in semiprime ring and we consider R be a 2-torsion free semiprime ring, B and D are two symmetric bi derivations on R,then B and D are orthogonal if and only if one of the following equivalent conditions holds for all x,y,z∈R: (1) BD=0. (2) B(x,y)D(y,z)=0 or D(x,y)B(y,z)=0.(3) BD is a bi derivation. (4) B(x,y)D(y,z)+D(y,z)B(x,y)=0,for every x,y,z ∈R.

Keywords: Bi Derivation, Derivation, Jordan Bi Derivation., Orthogonal Derivation, Orthogonal Symmetric Bi Derivation, Semi Prime Ring

Scroll to Top

Don't miss any Call For Paper update from EA Journals

Fill up the form below and get notified everytime we call for new submissions for our journals.