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Bi-derivations on Semiprime Rings
Current Issue
Volume 3, 2015
Issue 5 (October)
Pages: 132-135   |   Vol. 3, No. 5, October 2015   |   Follow on         
Paper in PDF Downloads: 71   Since Sep. 8, 2015 Views: 1750   Since Sep. 8, 2015
Authors
[1]
Mehsin Jabel Atteya, Department of Mathematics, Al-Mustansiriyah University, College of Education, Baghdad, Iraq.
Abstract
The main purpose of this paper is studying and investigating some results concerning a symmetric bi-derivation D:R×R→R and d the trace of D ,on prime rings and semiprime rings R, where R admits for a symmetric bi-derivation D satisfying some conditions on R, (i). ([d(x),x]) n =0 for all x ∈R. (ii). D1 (d2 (x),x) n=0 holds for all x ∈R. (iii). (d1 (d2 (x))- f(x)) n=0 holds for all x ∈R. Where n be a positive integer and R be a 2-torsion and 3-torsion free.
Keywords
Symmetric Bi-derivation, Derivation, Central Mapping, Semiprime Rings, Prime Ring, Torsion Free
Reference
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