On Semiprime Rings with (α,α)-Symmetric Derivations
[1]
Mehsin Jabel Atteya, Al-Mustansiriyah University, College of Education, Department of Mathematics, Baghdad, Iraq.
[2]
Dalal Ibraheem Rasen, Al-Mustansiriyah University, College of Education, Department of Mathematics, Baghdad, Iraq.
The main purpose of this paper is to study and investigate concerning a (α,α)-symmetric derivations D on semiprime rings and prime rings R, we give some results when R admits a (α,α)-symmetric derivations D to satisfy some conditions on R.(i)D([x,y]n+1) =0 for all x, y∈ R. (ii) [D(xn+1),α(y)] = 0 for all x, y ∈R. (iii) [[D(x),α(x)],α(x)]= 0 for all x ∈R. Where α: R → R is an automorphism mapping.
Semiprime Ring, Prime Ring, (α,α)-Derivations, (α,α)-Symmetric Derivation
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